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Finding the Third Proportional to 34,975,057.50 and 54,858,691.13

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Solution

The third proportional to 34,975,057.50 and 54,858,691.13 is: 86,046,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,975,057.50 : 54,858,691.13 = 54,858,691.13 : x
  2. Step 2: Convert to fraction form
    34,975,057.50/54,858,691.13 = 54,858,691.13/x
  3. Step 3: Cross multiply
    34,975,057.50x = 54,858,691.13 × 54,858,691.13
  4. Step 4: Simplify right side
    34,975,057.50x = 3,009,475,991,948,154
  5. Step 5: Solve for x
    x = 3,009,475,991,948,154/34,975,057.50
  6. Step 6: Final answer
    x = 86,046,348.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.