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Finding the Third Proportional to 643,853,691 and 1,394,670,410.72

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Solution

The third proportional to 643,853,691 and 1,394,670,410.72 is: 3,021,036,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,853,691 : 1,394,670,410.72 = 1,394,670,410.72 : x
  2. Step 2: Convert to fraction form
    643,853,691/1,394,670,410.72 = 1,394,670,410.72/x
  3. Step 3: Cross multiply
    643,853,691x = 1,394,670,410.72 × 1,394,670,410.72
  4. Step 4: Simplify right side
    643,853,691x = 1,945,105,554,534,546,432
  5. Step 5: Solve for x
    x = 1,945,105,554,534,546,432/643,853,691
  6. Step 6: Final answer
    x = 3,021,036,582.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.