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Finding the Third Proportional to 381,542,915 and 826,471,332

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Solution

The third proportional to 381,542,915 and 826,471,332 is: 1,790,243,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,542,915 : 826,471,332 = 826,471,332 : x
  2. Step 2: Convert to fraction form
    381,542,915/826,471,332 = 826,471,332/x
  3. Step 3: Cross multiply
    381,542,915x = 826,471,332 × 826,471,332
  4. Step 4: Simplify right side
    381,542,915x = 683,054,862,617,854,208
  5. Step 5: Solve for x
    x = 683,054,862,617,854,208/381,542,915
  6. Step 6: Final answer
    x = 1,790,243,864.49

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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.