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Finding the Third Proportional to 52,699,797 and 114,195,384

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Solution

The third proportional to 52,699,797 and 114,195,384 is: 247,450,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,699,797 : 114,195,384 = 114,195,384 : x
  2. Step 2: Convert to fraction form
    52,699,797/114,195,384 = 114,195,384/x
  3. Step 3: Cross multiply
    52,699,797x = 114,195,384 × 114,195,384
  4. Step 4: Simplify right side
    52,699,797x = 13,040,585,726,907,456
  5. Step 5: Solve for x
    x = 13,040,585,726,907,456/52,699,797
  6. Step 6: Final answer
    x = 247,450,397.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.