There is a certain amount of rubber in the balloon. The bigger the balloon becomes, the more the rubber is stretched, which means more force needed to inflate.
However, the bigger the balloon gets, the thinner the rubber gets, which makes the “stretching force” less!. This not only cancels out the original stretch force, but since the surface area is dependent on the square of the radius, this actually beats the linear relationship of the rubber stretching, thus making it easier to blow an inflated balloon than an uninflated one.
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