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Finding the Third Proportional to 24,561,821 and 36,860,713.50

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Solution

The third proportional to 24,561,821 and 36,860,713.50 is: 55,318,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561,821 : 36,860,713.50 = 36,860,713.50 : x
  2. Step 2: Convert to fraction form
    24,561,821/36,860,713.50 = 36,860,713.50/x
  3. Step 3: Cross multiply
    24,561,821x = 36,860,713.50 × 36,860,713.50
  4. Step 4: Simplify right side
    24,561,821x = 1,358,712,199,729,082.25
  5. Step 5: Solve for x
    x = 1,358,712,199,729,082.25/24,561,821
  6. Step 6: Final answer
    x = 55,318,056.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.