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Finding the Third Proportional to 13,307,724 and 20,210,634

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Solution

The third proportional to 13,307,724 and 20,210,634 is: 30,694,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,307,724 : 20,210,634 = 20,210,634 : x
  2. Step 2: Convert to fraction form
    13,307,724/20,210,634 = 20,210,634/x
  3. Step 3: Cross multiply
    13,307,724x = 20,210,634 × 20,210,634
  4. Step 4: Simplify right side
    13,307,724x = 408,469,726,681,956
  5. Step 5: Solve for x
    x = 408,469,726,681,956/13,307,724
  6. Step 6: Final answer
    x = 30,694,183.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.