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Finding the Third Proportional to 10,761,808.50 and 16,342,013.25

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Solution

The third proportional to 10,761,808.50 and 16,342,013.25 is: 24,815,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761,808.50 : 16,342,013.25 = 16,342,013.25 : x
  2. Step 2: Convert to fraction form
    10,761,808.50/16,342,013.25 = 16,342,013.25/x
  3. Step 3: Cross multiply
    10,761,808.50x = 16,342,013.25 × 16,342,013.25
  4. Step 4: Simplify right side
    10,761,808.50x = 267,061,397,063,175.56
  5. Step 5: Solve for x
    x = 267,061,397,063,175.56/10,761,808.50
  6. Step 6: Final answer
    x = 24,815,661.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.