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Finding the Third Proportional to 7,691,978 and 16,413,676

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Solution

The third proportional to 7,691,978 and 16,413,676 is: 35,024,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691,978 : 16,413,676 = 16,413,676 : x
  2. Step 2: Convert to fraction form
    7,691,978/16,413,676 = 16,413,676/x
  3. Step 3: Cross multiply
    7,691,978x = 16,413,676 × 16,413,676
  4. Step 4: Simplify right side
    7,691,978x = 269,408,759,832,976
  5. Step 5: Solve for x
    x = 269,408,759,832,976/7,691,978
  6. Step 6: Final answer
    x = 35,024,639.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.