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Finding the Third Proportional to 33,188,976 and 72,430,107.75

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Solution

The third proportional to 33,188,976 and 72,430,107.75 is: 158,068,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,188,976 : 72,430,107.75 = 72,430,107.75 : x
  2. Step 2: Convert to fraction form
    33,188,976/72,430,107.75 = 72,430,107.75/x
  3. Step 3: Cross multiply
    33,188,976x = 72,430,107.75 × 72,430,107.75
  4. Step 4: Simplify right side
    33,188,976x = 5,246,120,508,676,610
  5. Step 5: Solve for x
    x = 5,246,120,508,676,610/33,188,976
  6. Step 6: Final answer
    x = 158,068,164.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.