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Finding the Third Proportional to 38,555,424 and 83,458,980

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Solution

The third proportional to 38,555,424 and 83,458,980 is: 180,659,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,555,424 : 83,458,980 = 83,458,980 : x
  2. Step 2: Convert to fraction form
    38,555,424/83,458,980 = 83,458,980/x
  3. Step 3: Cross multiply
    38,555,424x = 83,458,980 × 83,458,980
  4. Step 4: Simplify right side
    38,555,424x = 6,965,401,342,640,400
  5. Step 5: Solve for x
    x = 6,965,401,342,640,400/38,555,424
  6. Step 6: Final answer
    x = 180,659,440.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.