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Finding the Third Proportional to 16,206,435 and 24,721,251

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Solution

The third proportional to 16,206,435 and 24,721,251 is: 37,709,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206,435 : 24,721,251 = 24,721,251 : x
  2. Step 2: Convert to fraction form
    16,206,435/24,721,251 = 24,721,251/x
  3. Step 3: Cross multiply
    16,206,435x = 24,721,251 × 24,721,251
  4. Step 4: Simplify right side
    16,206,435x = 611,140,251,005,001
  5. Step 5: Solve for x
    x = 611,140,251,005,001/16,206,435
  6. Step 6: Final answer
    x = 37,709,727.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.