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Finding the Third Proportional to 6,397,198 and 13,247,102

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Solution

The third proportional to 6,397,198 and 13,247,102 is: 27,431,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397,198 : 13,247,102 = 13,247,102 : x
  2. Step 2: Convert to fraction form
    6,397,198/13,247,102 = 13,247,102/x
  3. Step 3: Cross multiply
    6,397,198x = 13,247,102 × 13,247,102
  4. Step 4: Simplify right side
    6,397,198x = 175,485,711,398,404
  5. Step 5: Solve for x
    x = 175,485,711,398,404/6,397,198
  6. Step 6: Final answer
    x = 27,431,652.33

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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.