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Finding the Third Proportional to 11,741,734 and 16,534,917

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Solution

The third proportional to 11,741,734 and 16,534,917 is: 23,284,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741,734 : 16,534,917 = 16,534,917 : x
  2. Step 2: Convert to fraction form
    11,741,734/16,534,917 = 16,534,917/x
  3. Step 3: Cross multiply
    11,741,734x = 16,534,917 × 16,534,917
  4. Step 4: Simplify right side
    11,741,734x = 273,403,480,196,889
  5. Step 5: Solve for x
    x = 273,403,480,196,889/11,741,734
  6. Step 6: Final answer
    x = 23,284,761.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.