Finding the Third Proportional to 45,922,718,585 and 71,881,597,138
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Solution
The third proportional to 45,922,718,585 and 71,881,597,138 is: 112,514,332,041.25
Step by Step Solution
- Step 1: Write the proportion equation
45,922,718,585 : 71,881,597,138 = 71,881,597,138 : x - Step 2: Convert to fraction form
45,922,718,585/71,881,597,138 = 71,881,597,138/x - Step 3: Cross multiply
45,922,718,585x = 71,881,597,138 × 71,881,597,138 - Step 4: Simplify right side
45,922,718,585x = 5,166,964,007,109,729,976,320 - Step 5: Solve for x
x = 5,166,964,007,109,729,976,320/45,922,718,585 - Step 6: Final answer
x = 112,514,332,041.25
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.