A thin-walled cylindrical can with rigid end caps has a mean radius R = 100 mm and a wall thickness of t = 5 mm, develops pressure inside of 5 MPa. Due to safety concerns, an additional amount of compressive stress is applied to both longitudinal and circumferential directions to keep the can safe such that the total stress acting on the longitudinal and circumferential direction are equal. If extra applied stress in the circumferential direction is twice the longitudinal direction, then find the magnitude of the sum of extra stress applied (in MPa).
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