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Finding the Third Proportional to 20,165,523 and 30,995,865

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Solution

The third proportional to 20,165,523 and 30,995,865 is: 47,642,882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165,523 : 30,995,865 = 30,995,865 : x
  2. Step 2: Convert to fraction form
    20,165,523/30,995,865 = 30,995,865/x
  3. Step 3: Cross multiply
    20,165,523x = 30,995,865 × 30,995,865
  4. Step 4: Simplify right side
    20,165,523x = 960,743,647,098,225
  5. Step 5: Solve for x
    x = 960,743,647,098,225/20,165,523
  6. Step 6: Final answer
    x = 47,642,882.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.