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Finding the Third Proportional to 586,721,628.14 and 1,243,394,177.91

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Solution

The third proportional to 586,721,628.14 and 1,243,394,177.91 is: 2,635,029,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,721,628.14 : 1,243,394,177.91 = 1,243,394,177.91 : x
  2. Step 2: Convert to fraction form
    586,721,628.14/1,243,394,177.91 = 1,243,394,177.91/x
  3. Step 3: Cross multiply
    586,721,628.14x = 1,243,394,177.91 × 1,243,394,177.91
  4. Step 4: Simplify right side
    586,721,628.14x = 1,546,029,081,651,034,880
  5. Step 5: Solve for x
    x = 1,546,029,081,651,034,880/586,721,628.14
  6. Step 6: Final answer
    x = 2,635,029,982.70

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.