Let the lengths of the adjacent sides of the parallelogram be 2x and 3x, where x is a positive constant.

The perimeter of the parallelogram is given by 2(2x + 3x) = 10x = 50 cm. Dividing both sides of the equation by 10, we find x = 5 cm.

Therefore, the lengths of the adjacent sides are 2x = 2(5) = 10 cm and 3x = 3(5) = 15 cm.

The altitude corresponding to the larger side is given as 10 cm.

The area of the parallelogram is given by the product of the length of the larger side and the corresponding altitude. Area = 15 cm * 10 cm = 150 cm^2.

Therefore, the area of the parallelogram is 150 square centimeters.