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Finding the Third Proportional to 11,741,732 and 16,534,914

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Solution

The third proportional to 11,741,732 and 16,534,914 is: 23,284,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741,732 : 16,534,914 = 16,534,914 : x
  2. Step 2: Convert to fraction form
    11,741,732/16,534,914 = 16,534,914/x
  3. Step 3: Cross multiply
    11,741,732x = 16,534,914 × 16,534,914
  4. Step 4: Simplify right side
    11,741,732x = 273,403,380,987,396
  5. Step 5: Solve for x
    x = 273,403,380,987,396/11,741,732
  6. Step 6: Final answer
    x = 23,284,757.39

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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.