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Finding the Third Proportional to 6,259,842 and 13,192,206.75

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Solution

The third proportional to 6,259,842 and 13,192,206.75 is: 27,801,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259,842 : 13,192,206.75 = 13,192,206.75 : x
  2. Step 2: Convert to fraction form
    6,259,842/13,192,206.75 = 13,192,206.75/x
  3. Step 3: Cross multiply
    6,259,842x = 13,192,206.75 × 13,192,206.75
  4. Step 4: Simplify right side
    6,259,842x = 174,034,318,934,745.56
  5. Step 5: Solve for x
    x = 174,034,318,934,745.56/6,259,842
  6. Step 6: Final answer
    x = 27,801,711.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.