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Finding the Third Proportional to 11,419,242 and 16,813,449

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Solution

The third proportional to 11,419,242 and 16,813,449 is: 24,755,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419,242 : 16,813,449 = 16,813,449 : x
  2. Step 2: Convert to fraction form
    11,419,242/16,813,449 = 16,813,449/x
  3. Step 3: Cross multiply
    11,419,242x = 16,813,449 × 16,813,449
  4. Step 4: Simplify right side
    11,419,242x = 282,692,067,275,601
  5. Step 5: Solve for x
    x = 282,692,067,275,601/11,419,242
  6. Step 6: Final answer
    x = 24,755,764.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.