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Finding the Third Proportional to 417,327,156,648 and 903,951,977,778

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Solution

The third proportional to 417,327,156,648 and 903,951,977,778 is: 1,958,006,243,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,327,156,648 : 903,951,977,778 = 903,951,977,778 : x
  2. Step 2: Convert to fraction form
    417,327,156,648/903,951,977,778 = 903,951,977,778/x
  3. Step 3: Cross multiply
    417,327,156,648x = 903,951,977,778 × 903,951,977,778
  4. Step 4: Simplify right side
    417,327,156,648x = 817,129,178,128,757,750,235,136
  5. Step 5: Solve for x
    x = 817,129,178,128,757,750,235,136/417,327,156,648
  6. Step 6: Final answer
    x = 1,958,006,243,092.34

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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.