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Finding the Third Proportional to 417,327,156,631 and 903,951,977,744

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Solution

The third proportional to 417,327,156,631 and 903,951,977,744 is: 1,958,006,243,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,327,156,631 : 903,951,977,744 = 903,951,977,744 : x
  2. Step 2: Convert to fraction form
    417,327,156,631/903,951,977,744 = 903,951,977,744/x
  3. Step 3: Cross multiply
    417,327,156,631x = 903,951,977,744 × 903,951,977,744
  4. Step 4: Simplify right side
    417,327,156,631x = 817,129,178,067,289,117,818,880
  5. Step 5: Solve for x
    x = 817,129,178,067,289,117,818,880/417,327,156,631
  6. Step 6: Final answer
    x = 1,958,006,243,024.81

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Why These Related Problems?

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