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Finding the Third Proportional to 24,815,930 and 54,530,464

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Solution

The third proportional to 24,815,930 and 54,530,464 is: 119,825,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815,930 : 54,530,464 = 54,530,464 : x
  2. Step 2: Convert to fraction form
    24,815,930/54,530,464 = 54,530,464/x
  3. Step 3: Cross multiply
    24,815,930x = 54,530,464 × 54,530,464
  4. Step 4: Simplify right side
    24,815,930x = 2,973,571,504,055,296
  5. Step 5: Solve for x
    x = 2,973,571,504,055,296/24,815,930
  6. Step 6: Final answer
    x = 119,825,108.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.