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Finding the Third Proportional to 11,741,616 and 17,916,120

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Solution

The third proportional to 11,741,616 and 17,916,120 is: 27,337,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741,616 : 17,916,120 = 17,916,120 : x
  2. Step 2: Convert to fraction form
    11,741,616/17,916,120 = 17,916,120/x
  3. Step 3: Cross multiply
    11,741,616x = 17,916,120 × 17,916,120
  4. Step 4: Simplify right side
    11,741,616x = 320,987,355,854,400
  5. Step 5: Solve for x
    x = 320,987,355,854,400/11,741,616
  6. Step 6: Final answer
    x = 27,337,579.07

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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.