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The forces are the same, but the area of a bullet is much smaller than a stock, so the pressure at impact is higher.
It's not only the surface area of the stock, but also the weight of the weapon, which leads to the force being applied over period of time as opposed to "all at once". As for the receiving side, if they are equipped with hard plates which will distribute the projectile's energy onto a larger area without deformation, then some of the issues are mitigated. I think though, there is still the problem of the "force by time" situation. Ideally, the bullet needs to slow down (and transfer its energy to the plate) for the same amount of time it spent accelerating, instead of coming to a stop instantly as it hits the barrier.