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Finding the Third Proportional to 417,327,156,633.96 and 903,951,977,749.92

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Solution

The third proportional to 417,327,156,633.96 and 903,951,977,749.92 is: 1,958,006,243,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,327,156,633.96 : 903,951,977,749.92 = 903,951,977,749.92 : x
  2. Step 2: Convert to fraction form
    417,327,156,633.96/903,951,977,749.92 = 903,951,977,749.92/x
  3. Step 3: Cross multiply
    417,327,156,633.96x = 903,951,977,749.92 × 903,951,977,749.92
  4. Step 4: Simplify right side
    417,327,156,633.96x = 817,129,178,077,991,907,885,056
  5. Step 5: Solve for x
    x = 817,129,178,077,991,907,885,056/417,327,156,633.96
  6. Step 6: Final answer
    x = 1,958,006,243,036.56

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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.