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Finding the Third Proportional to 3,741,732 and 8,082,214

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Solution

The third proportional to 3,741,732 and 8,082,214 is: 17,457,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741,732 : 8,082,214 = 8,082,214 : x
  2. Step 2: Convert to fraction form
    3,741,732/8,082,214 = 8,082,214/x
  3. Step 3: Cross multiply
    3,741,732x = 8,082,214 × 8,082,214
  4. Step 4: Simplify right side
    3,741,732x = 65,322,183,141,796
  5. Step 5: Solve for x
    x = 65,322,183,141,796/3,741,732
  6. Step 6: Final answer
    x = 17,457,739.66

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