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Finding the Third Proportional to 24,061,344.75 and 51,958,209.38

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Solution

The third proportional to 24,061,344.75 and 51,958,209.38 is: 112,198,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,061,344.75 : 51,958,209.38 = 51,958,209.38 : x
  2. Step 2: Convert to fraction form
    24,061,344.75/51,958,209.38 = 51,958,209.38/x
  3. Step 3: Cross multiply
    24,061,344.75x = 51,958,209.38 × 51,958,209.38
  4. Step 4: Simplify right side
    24,061,344.75x = 2,699,655,521,456,338
  5. Step 5: Solve for x
    x = 2,699,655,521,456,338/24,061,344.75
  6. Step 6: Final answer
    x = 112,198,862.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.