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Finding the Third Proportional to 5,143,589 and 11,061,377

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Solution

The third proportional to 5,143,589 and 11,061,377 is: 23,787,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143,589 : 11,061,377 = 11,061,377 : x
  2. Step 2: Convert to fraction form
    5,143,589/11,061,377 = 11,061,377/x
  3. Step 3: Cross multiply
    5,143,589x = 11,061,377 × 11,061,377
  4. Step 4: Simplify right side
    5,143,589x = 122,354,061,136,129
  5. Step 5: Solve for x
    x = 122,354,061,136,129/5,143,589
  6. Step 6: Final answer
    x = 23,787,682.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.