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Finding the Third Proportional to 8,127,712.13 and 11,145,301.31

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Solution

The third proportional to 8,127,712.13 and 11,145,301.31 is: 15,283,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127,712.13 : 11,145,301.31 = 11,145,301.31 : x
  2. Step 2: Convert to fraction form
    8,127,712.13/11,145,301.31 = 11,145,301.31/x
  3. Step 3: Cross multiply
    8,127,712.13x = 11,145,301.31 × 11,145,301.31
  4. Step 4: Simplify right side
    8,127,712.13x = 124,217,741,346,414.22
  5. Step 5: Solve for x
    x = 124,217,741,346,414.22/8,127,712.13
  6. Step 6: Final answer
    x = 15,283,235.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.