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Finding the Third Proportional to 33,996,669 and 72,844,129.50

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Solution

The third proportional to 33,996,669 and 72,844,129.50 is: 156,081,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,996,669 : 72,844,129.50 = 72,844,129.50 : x
  2. Step 2: Convert to fraction form
    33,996,669/72,844,129.50 = 72,844,129.50/x
  3. Step 3: Cross multiply
    33,996,669x = 72,844,129.50 × 72,844,129.50
  4. Step 4: Simplify right side
    33,996,669x = 5,306,267,202,612,770
  5. Step 5: Solve for x
    x = 5,306,267,202,612,770/33,996,669
  6. Step 6: Final answer
    x = 156,081,973.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.