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Finding the Third Proportional to 125,467,704 and 271,779,678

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Solution

The third proportional to 125,467,704 and 271,779,678 is: 588,710,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,467,704 : 271,779,678 = 271,779,678 : x
  2. Step 2: Convert to fraction form
    125,467,704/271,779,678 = 271,779,678/x
  3. Step 3: Cross multiply
    125,467,704x = 271,779,678 × 271,779,678
  4. Step 4: Simplify right side
    125,467,704x = 73,864,193,373,783,680
  5. Step 5: Solve for x
    x = 73,864,193,373,783,680/125,467,704
  6. Step 6: Final answer
    x = 588,710,807.79

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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.