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Finding the Third Proportional to 24,487,941 and 35,399,137.50

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Solution

The third proportional to 24,487,941 and 35,399,137.50 is: 51,172,082.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,487,941 : 35,399,137.50 = 35,399,137.50 : x
  2. Step 2: Convert to fraction form
    24,487,941/35,399,137.50 = 35,399,137.50/x
  3. Step 3: Cross multiply
    24,487,941x = 35,399,137.50 × 35,399,137.50
  4. Step 4: Simplify right side
    24,487,941x = 1,253,098,935,743,906.25
  5. Step 5: Solve for x
    x = 1,253,098,935,743,906.25/24,487,941
  6. Step 6: Final answer
    x = 51,172,082.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.