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Finding the Third Proportional to 335,071,753.13 and 516,738,789.75

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Solution

The third proportional to 335,071,753.13 and 516,738,789.75 is: 796,900,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,071,753.13 : 516,738,789.75 = 516,738,789.75 : x
  2. Step 2: Convert to fraction form
    335,071,753.13/516,738,789.75 = 516,738,789.75/x
  3. Step 3: Cross multiply
    335,071,753.13x = 516,738,789.75 × 516,738,789.75
  4. Step 4: Simplify right side
    335,071,753.13x = 267,018,976,832,294,720
  5. Step 5: Solve for x
    x = 267,018,976,832,294,720/335,071,753.13
  6. Step 6: Final answer
    x = 796,900,885.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.