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Finding the Third Proportional to 9,657,978 and 20,467,413

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Solution

The third proportional to 9,657,978 and 20,467,413 is: 43,375,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,978 : 20,467,413 = 20,467,413 : x
  2. Step 2: Convert to fraction form
    9,657,978/20,467,413 = 20,467,413/x
  3. Step 3: Cross multiply
    9,657,978x = 20,467,413 × 20,467,413
  4. Step 4: Simplify right side
    9,657,978x = 418,914,994,912,569
  5. Step 5: Solve for x
    x = 418,914,994,912,569/9,657,978
  6. Step 6: Final answer
    x = 43,375,020.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.