Newton's Third Law states that every action force has an equal and opposite reaction force, but these forces do not cancel each other out because they act on different objects. For instance, the gravitational force acting on an object and the normal force from the ground are equal in magnitude but act on separate entities. When an object is on the ground, these forces result in a net force of zero, leading to no motion. However, when the object is in the air, only the gravitational force acts on it, causing a change in velocity. Thus, the key to understanding motion lies in recognizing that action and reaction forces operate on distinct objects.