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Finding the Third Proportional to 5,156,742 and 11,231,016

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Solution

The third proportional to 5,156,742 and 11,231,016 is: 24,460,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156,742 : 11,231,016 = 11,231,016 : x
  2. Step 2: Convert to fraction form
    5,156,742/11,231,016 = 11,231,016/x
  3. Step 3: Cross multiply
    5,156,742x = 11,231,016 × 11,231,016
  4. Step 4: Simplify right side
    5,156,742x = 126,135,720,392,256
  5. Step 5: Solve for x
    x = 126,135,720,392,256/5,156,742
  6. Step 6: Final answer
    x = 24,460,351.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.