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Finding the Third Proportional to 55,374,864 and 119,265,744

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Solution

The third proportional to 55,374,864 and 119,265,744 is: 256,873,185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,374,864 : 119,265,744 = 119,265,744 : x
  2. Step 2: Convert to fraction form
    55,374,864/119,265,744 = 119,265,744/x
  3. Step 3: Cross multiply
    55,374,864x = 119,265,744 × 119,265,744
  4. Step 4: Simplify right side
    55,374,864x = 14,224,317,691,873,536
  5. Step 5: Solve for x
    x = 14,224,317,691,873,536/55,374,864
  6. Step 6: Final answer
    x = 256,873,185.13

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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.