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Finding the Third Proportional to 6,397,187 and 13,247,086

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Solution

The third proportional to 6,397,187 and 13,247,086 is: 27,431,633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397,187 : 13,247,086 = 13,247,086 : x
  2. Step 2: Convert to fraction form
    6,397,187/13,247,086 = 13,247,086/x
  3. Step 3: Cross multiply
    6,397,187x = 13,247,086 × 13,247,086
  4. Step 4: Simplify right side
    6,397,187x = 175,485,287,491,396
  5. Step 5: Solve for x
    x = 175,485,287,491,396/6,397,187
  6. Step 6: Final answer
    x = 27,431,633.23

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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.