(a) Is the magnitude of the gravitational force exerted by Earth on a ball greater than, equal to, or smaller than the magnitude of the gravitational force exerted by the ball on Earth?

(b) Is the magnitude of Earth's gravitational field at the position of the ball greater than, equal to, or smaller than the magnitude of the gravitational field of the ball at a distance equal to Earth's radius?

(c) Explain how the answers to parts \(a\) and \(b\) can both be correct.