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Finding the Third Proportional to 13,982,920 and 32,961,632

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Solution

The third proportional to 13,982,920 and 32,961,632 is: 77,699,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982,920 : 32,961,632 = 32,961,632 : x
  2. Step 2: Convert to fraction form
    13,982,920/32,961,632 = 32,961,632/x
  3. Step 3: Cross multiply
    13,982,920x = 32,961,632 × 32,961,632
  4. Step 4: Simplify right side
    13,982,920x = 1,086,469,184,103,424
  5. Step 5: Solve for x
    x = 1,086,469,184,103,424/13,982,920
  6. Step 6: Final answer
    x = 77,699,735.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.