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Finding the Third Proportional to 7,691,980 and 16,413,680

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Solution

The third proportional to 7,691,980 and 16,413,680 is: 35,024,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691,980 : 16,413,680 = 16,413,680 : x
  2. Step 2: Convert to fraction form
    7,691,980/16,413,680 = 16,413,680/x
  3. Step 3: Cross multiply
    7,691,980x = 16,413,680 × 16,413,680
  4. Step 4: Simplify right side
    7,691,980x = 269,408,891,142,400
  5. Step 5: Solve for x
    x = 269,408,891,142,400/7,691,980
  6. Step 6: Final answer
    x = 35,024,647.90

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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.