The moon does not pull on the Earth with one-sixth the force that the Earth exerts on the moon; instead, both bodies exert equal gravitational forces on each other. This is supported by Newton's Third Law, which states that the force exerted by one object on another is equal in magnitude and opposite in direction. The gravitational interaction can be understood through the concept of a single attractive force between two objects. The discussion emphasizes the importance of understanding gravitational forces and their equal nature. Overall, the forces between the Earth and the moon are balanced and reciprocal.