Finding the Third Proportional to 471,841,568 and 707,762,412.75
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Solution
The third proportional to 471,841,568 and 707,762,412.75 is: 1,061,643,710.25
Step by Step Solution
- Step 1: Write the proportion equation
471,841,568 : 707,762,412.75 = 707,762,412.75 : x - Step 2: Convert to fraction form
471,841,568/707,762,412.75 = 707,762,412.75/x - Step 3: Cross multiply
471,841,568x = 707,762,412.75 × 707,762,412.75 - Step 4: Simplify right side
471,841,568x = 500,927,632,901,701,376 - Step 5: Solve for x
x = 500,927,632,901,701,376/471,841,568 - Step 6: Final answer
x = 1,061,643,710.25
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.