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Finding the Third Proportional to 6,397,196 and 13,247,098

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Solution

The third proportional to 6,397,196 and 13,247,098 is: 27,431,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397,196 : 13,247,098 = 13,247,098 : x
  2. Step 2: Convert to fraction form
    6,397,196/13,247,098 = 13,247,098/x
  3. Step 3: Cross multiply
    6,397,196x = 13,247,098 × 13,247,098
  4. Step 4: Simplify right side
    6,397,196x = 175,485,605,421,604
  5. Step 5: Solve for x
    x = 175,485,605,421,604/6,397,196
  6. Step 6: Final answer
    x = 27,431,644.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.