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Finding the Third Proportional to 6,654,744 and 13,624,821

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Solution

The third proportional to 6,654,744 and 13,624,821 is: 27,895,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654,744 : 13,624,821 = 13,624,821 : x
  2. Step 2: Convert to fraction form
    6,654,744/13,624,821 = 13,624,821/x
  3. Step 3: Cross multiply
    6,654,744x = 13,624,821 × 13,624,821
  4. Step 4: Simplify right side
    6,654,744x = 185,635,747,282,041
  5. Step 5: Solve for x
    x = 185,635,747,282,041/6,654,744
  6. Step 6: Final answer
    x = 27,895,249.96

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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.