If the forces that act on a cannonball and the recoiling cannon from which it is fired are equal in magnitude why do the cannonballl and cannon have very different accelerations?

The forces acting on the cannonball and the recoiling cannon are equal in magnitude due to Newton's third law, which states that every action has an equal and opposite reaction. However, the mass of the cannonball is much smaller than that of the cannon, resulting in a greater acceleration for the cannonball according to Newton’s second law (F = ma). Since acceleration is inversely proportional to mass, the same force will produce a larger acceleration in the lighter object (the cannonball) compared to the heavier object (the cannon).