“When the Gentiles heard this, they were glad, and glorified the word of the Lord: and as many as were ordained to eternal life believed.” They rejoiced exceedingly that Christ recognized them as the children of God, and with grateful hearts they listened to the word preached. Those who believed were zealous in communicating the gospel message to others, and thus “the word of the Lord was published throughout all the region.” AA 173.4 Centuries before, the pen of inspiration had traced this ingathering of the Gentiles; but those prophetic utterances had been but dimly understood. Hosea had said: “Yet the number of the children of Israel shall be as the sand of the sea, which cannot be measured nor numbered; and it shall come to pass, that in the place where it was said unto them, Ye are not My people, there it shall be said unto them, Ye are the sons of the living God.” And again: “I will sow her unto Me in the earth; and I will have mercy upon her that had not obtained mercy; and I wi…
"And when the Gentiles heard this, they were glad, and glorified the word of the Lord: and as many as were ordained to eternal life believed."
The EGW passage directly quotes and comments on Acts 13:48, making the connection explicit and central to the discussion.
"Yet the number of the children of Israel shall be as the sand of the sea, which cannot be measured nor numbered; and it shall come to pass, that in the place where it was said unto them, Ye are not my people, there it shall be said unto them, Ye are the sons of the living God."
Ellen White directly references Hosea 1:10 in this passage.
"The Saviour Himself, during His earthly ministry, foretold the spread of the gospel among the Gentiles. In the parable of the vineyard He declared to the impenitent Jews, “The kingdom of God shall be taken from you, and given to a nation bringing forth the fruits thereof.” Matthew 21:43 . And after His resurrection He commissioned His disciples to go “into all the world” and “teach all nations.” They were to leave none unwarned, but were to “preach the gospel to every creature.” Matthew 28:19 ; Mark 16:15 . AA 174.2"
"Therefore say I unto you, The kingdom of God shall be taken from you, and given to a nation bringing forth the fruits thereof."
EGW directly quotes Matthew 21:43.
"Go ye therefore, and teach all nations, baptizing them in the name of the Father, and of the Son, and of the Holy Ghost:"
The EGW passage directly quotes Matthew 28:19 and references Mark 16:15, making the connection undeniable.
"And he said unto them, Go ye into all the world, and preach the gospel to every creature."
EGW directly quotes Mark 16:15.
"In turning to the Gentiles in Antioch of Pisidia, Paul and Barnabas did not cease laboring for the Jews elsewhere, wherever there was a favorable opportunity to gain a hearing. Later, in Thessalonica, in Corinth, in Ephesus, and in other important centers, Paul and his companions in labor preached the gospel to both Jews and Gentiles. But their chief energies were henceforth directed toward the building up of the kingdom of God in heathen territory, among peoples who had but little or no knowledge of the true God and of His Son. AA 174.3"
"Then Paul and Barnabas waxed bold, and said, It was necessary that the word of God should first have been spoken to you: but seeing ye put it from you, and judge yourselves unworthy of everlasting life, lo, we turn to the Gentiles."
EGW describes Paul and Barnabas turning to the Gentiles, which is the central theme of Acts 13:46. While not a direct quote, the connection is clear and significant.