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Finding the Third Proportional to 3,741,729 and 8,082,209

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Solution

The third proportional to 3,741,729 and 8,082,209 is: 17,457,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741,729 : 8,082,209 = 8,082,209 : x
  2. Step 2: Convert to fraction form
    3,741,729/8,082,209 = 8,082,209/x
  3. Step 3: Cross multiply
    3,741,729x = 8,082,209 × 8,082,209
  4. Step 4: Simplify right side
    3,741,729x = 65,322,102,319,681
  5. Step 5: Solve for x
    x = 65,322,102,319,681/3,741,729
  6. Step 6: Final answer
    x = 17,457,732.06

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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.