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Finding the Third Proportional to 500,909,470.88 and 779,986,023.75

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Solution

The third proportional to 500,909,470.88 and 779,986,023.75 is: 1,214,547,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,909,470.88 : 779,986,023.75 = 779,986,023.75 : x
  2. Step 2: Convert to fraction form
    500,909,470.88/779,986,023.75 = 779,986,023.75/x
  3. Step 3: Cross multiply
    500,909,470.88x = 779,986,023.75 × 779,986,023.75
  4. Step 4: Simplify right side
    500,909,470.88x = 608,378,197,245,335,552
  5. Step 5: Solve for x
    x = 608,378,197,245,335,552/500,909,470.88
  6. Step 6: Final answer
    x = 1,214,547,203.87

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.