The Earth's gravity pulls on the Moon, causing it to orbit. However, by Newton’s third law, it is known that the Moon exerts a force back on the Earth. Therefore, the Earth should move in response to the Moon. Thus a more accurate statement is, "The Moon and the Earth both orbit the center of mass of the Earth-Moon system. In this problem, you will calculate the location of the center of mass for the Earth-Moon system, and then you will calculate the center of mass of the Earth-Moon-Sun system. The mass of the Moon is 7.35×1022kg , the mass of the Earth is 6.00×1024kg , and the mass of the sun is 2.00×1030kg . The distance between the Moon and the Earth is 3.80×105km . The distance between the Earth and the Sun is 1.50×108km . Calculate the location x_cm of the center of mass of the Earth-Moon system. Use a coordinate system in which the center of the Earth is at x=0 and the Moon is located in the positive x direction. Express answer in kilometers to three significant figures