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Finding the Third Proportional to 3,741,738 and 8,082,227

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Solution

The third proportional to 3,741,738 and 8,082,227 is: 17,457,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741,738 : 8,082,227 = 8,082,227 : x
  2. Step 2: Convert to fraction form
    3,741,738/8,082,227 = 8,082,227/x
  3. Step 3: Cross multiply
    3,741,738x = 8,082,227 × 8,082,227
  4. Step 4: Simplify right side
    3,741,738x = 65,322,393,279,529
  5. Step 5: Solve for x
    x = 65,322,393,279,529/3,741,738
  6. Step 6: Final answer
    x = 17,457,767.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.