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Finding the Third Proportional to 381,542,930 and 826,471,359

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Solution

The third proportional to 381,542,930 and 826,471,359 is: 1,790,243,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,542,930 : 826,471,359 = 826,471,359 : x
  2. Step 2: Convert to fraction form
    381,542,930/826,471,359 = 826,471,359/x
  3. Step 3: Cross multiply
    381,542,930x = 826,471,359 × 826,471,359
  4. Step 4: Simplify right side
    381,542,930x = 683,054,907,247,306,880
  5. Step 5: Solve for x
    x = 683,054,907,247,306,880/381,542,930
  6. Step 6: Final answer
    x = 1,790,243,911.08

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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.