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Finding the Third Proportional to 15,672,384 and 24,217,830

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Solution

The third proportional to 15,672,384 and 24,217,830 is: 37,422,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,672,384 : 24,217,830 = 24,217,830 : x
  2. Step 2: Convert to fraction form
    15,672,384/24,217,830 = 24,217,830/x
  3. Step 3: Cross multiply
    15,672,384x = 24,217,830 × 24,217,830
  4. Step 4: Simplify right side
    15,672,384x = 586,503,289,908,900
  5. Step 5: Solve for x
    x = 586,503,289,908,900/15,672,384
  6. Step 6: Final answer
    x = 37,422,723.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.