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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

  1. Step 1: Write the proportion equation
    471,841,568 : 707,762,412.75 = 707,762,412.75 : x
  2. Step 2: Convert to fraction form
    471,841,568/707,762,412.75 = 707,762,412.75/x
  3. Step 3: Cross multiply
    471,841,568x = 707,762,412.75 × 707,762,412.75
  4. Step 4: Simplify right side
    471,841,568x = 500,927,632,901,701,376
  5. Step 5: Solve for x
    x = 500,927,632,901,701,376/471,841,568
  6. 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.