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Finding the Third Proportional to 16,145,474 and 24,286,251

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Solution

The third proportional to 16,145,474 and 24,286,251 is: 36,531,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145,474 : 24,286,251 = 24,286,251 : x
  2. Step 2: Convert to fraction form
    16,145,474/24,286,251 = 24,286,251/x
  3. Step 3: Cross multiply
    16,145,474x = 24,286,251 × 24,286,251
  4. Step 4: Simplify right side
    16,145,474x = 589,821,987,635,001
  5. Step 5: Solve for x
    x = 589,821,987,635,001/16,145,474
  6. Step 6: Final answer
    x = 36,531,723.23

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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.