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Finding the Third Proportional to 6,197,978 and 13,391,864

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Solution

The third proportional to 6,197,978 and 13,391,864 is: 28,935,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197,978 : 13,391,864 = 13,391,864 : x
  2. Step 2: Convert to fraction form
    6,197,978/13,391,864 = 13,391,864/x
  3. Step 3: Cross multiply
    6,197,978x = 13,391,864 × 13,391,864
  4. Step 4: Simplify right side
    6,197,978x = 179,342,021,394,496
  5. Step 5: Solve for x
    x = 179,342,021,394,496/6,197,978
  6. Step 6: Final answer
    x = 28,935,569.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.