What Is the Distance from the Moon to the Point

Multiple Choice

What is the distance from the moon to the point between Earth and the Moon where the gravitational pulls of Earth and Moon are equal? The mass of Earth is 5.97 × 10²⁴ kg, the mass of the Moon is 7.35 × 10²² kg, the distance between Earth and the Moon is 3.84 × 10⁸ m, and G = 6.67 x 10^-11 N·m²/kg².

A) 3.45 × 10⁸ m
B) 3.83 × 10⁷ m
C) 4.69 × 10⁶ m
D) 3.83 × 10⁶ m
E) 4.69 × 10⁷ m