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Finding the Third Proportional to 5,374,691 and 11,694,131

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Solution

The third proportional to 5,374,691 and 11,694,131 is: 25,443,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374,691 : 11,694,131 = 11,694,131 : x
  2. Step 2: Convert to fraction form
    5,374,691/11,694,131 = 11,694,131/x
  3. Step 3: Cross multiply
    5,374,691x = 11,694,131 × 11,694,131
  4. Step 4: Simplify right side
    5,374,691x = 136,752,699,845,161
  5. Step 5: Solve for x
    x = 136,752,699,845,161/5,374,691
  6. Step 6: Final answer
    x = 25,443,825.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.