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Finding the Third Proportional to 24,759,538.31 and 54,302,040.56

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Solution

The third proportional to 24,759,538.31 and 54,302,040.56 is: 119,093,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,759,538.31 : 54,302,040.56 = 54,302,040.56 : x
  2. Step 2: Convert to fraction form
    24,759,538.31/54,302,040.56 = 54,302,040.56/x
  3. Step 3: Cross multiply
    24,759,538.31x = 54,302,040.56 × 54,302,040.56
  4. Step 4: Simplify right side
    24,759,538.31x = 2,948,711,609,251,395.50
  5. Step 5: Solve for x
    x = 2,948,711,609,251,395.50/24,759,538.31
  6. Step 6: Final answer
    x = 119,093,965.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.