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Finding the Third Proportional to 11,741,614 and 17,916,116

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Solution

The third proportional to 11,741,614 and 17,916,116 is: 27,337,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741,614 : 17,916,116 = 17,916,116 : x
  2. Step 2: Convert to fraction form
    11,741,614/17,916,116 = 17,916,116/x
  3. Step 3: Cross multiply
    11,741,614x = 17,916,116 × 17,916,116
  4. Step 4: Simplify right side
    11,741,614x = 320,987,212,525,456
  5. Step 5: Solve for x
    x = 320,987,212,525,456/11,741,614
  6. Step 6: Final answer
    x = 27,337,571.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.