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Finding the Third Proportional to 27,195,346.13 and 42,171,649.31

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Solution

The third proportional to 27,195,346.13 and 42,171,649.31 is: 65,395,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,195,346.13 : 42,171,649.31 = 42,171,649.31 : x
  2. Step 2: Convert to fraction form
    27,195,346.13/42,171,649.31 = 42,171,649.31/x
  3. Step 3: Cross multiply
    27,195,346.13x = 42,171,649.31 × 42,171,649.31
  4. Step 4: Simplify right side
    27,195,346.13x = 1,778,448,005,736,481.75
  5. Step 5: Solve for x
    x = 1,778,448,005,736,481.75/27,195,346.13
  6. Step 6: Final answer
    x = 65,395,306.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.