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Finding the Third Proportional to 6,675,431.25 and 13,704,744

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Solution

The third proportional to 6,675,431.25 and 13,704,744 is: 28,136,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675,431.25 : 13,704,744 = 13,704,744 : x
  2. Step 2: Convert to fraction form
    6,675,431.25/13,704,744 = 13,704,744/x
  3. Step 3: Cross multiply
    6,675,431.25x = 13,704,744 × 13,704,744
  4. Step 4: Simplify right side
    6,675,431.25x = 187,820,008,105,536
  5. Step 5: Solve for x
    x = 187,820,008,105,536/6,675,431.25
  6. Step 6: Final answer
    x = 28,136,011.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.