If the moon were to double in size, it would also become a lot heavier. Because of this extra weight, the pull of gravity between the Earth and the moon would be stronger. The distance between them wouldn't change, so the extra weight is what would make the gravity stronger.
reword this so its simpler and like an 8th grader wrote it
If the moon's size doubled, its mass would increase significantly, resulting in a stronger gravitational force between Earth and the moon because gravity depends on mass. However, since the distance remains the same, the increased mass would be the only factor affecting the gravitational pull.
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