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Finding the Third Proportional to 252,204,048 and 543,314,016

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Solution

The third proportional to 252,204,048 and 543,314,016 is: 1,170,441,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,204,048 : 543,314,016 = 543,314,016 : x
  2. Step 2: Convert to fraction form
    252,204,048/543,314,016 = 543,314,016/x
  3. Step 3: Cross multiply
    252,204,048x = 543,314,016 × 543,314,016
  4. Step 4: Simplify right side
    252,204,048x = 295,190,119,982,048,256
  5. Step 5: Solve for x
    x = 295,190,119,982,048,256/252,204,048
  6. Step 6: Final answer
    x = 1,170,441,641.69

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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.