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Finding the Third Proportional to 5,172,419 and 11,240,149

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Solution

The third proportional to 5,172,419 and 11,240,149 is: 24,425,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172,419 : 11,240,149 = 11,240,149 : x
  2. Step 2: Convert to fraction form
    5,172,419/11,240,149 = 11,240,149/x
  3. Step 3: Cross multiply
    5,172,419x = 11,240,149 × 11,240,149
  4. Step 4: Simplify right side
    5,172,419x = 126,340,949,542,201
  5. Step 5: Solve for x
    x = 126,340,949,542,201/5,172,419
  6. Step 6: Final answer
    x = 24,425,892.32

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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.