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Finding the Third Proportional to 33,996,344.25 and 72,843,471.75

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Solution

The third proportional to 33,996,344.25 and 72,843,471.75 is: 156,080,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,996,344.25 : 72,843,471.75 = 72,843,471.75 : x
  2. Step 2: Convert to fraction form
    33,996,344.25/72,843,471.75 = 72,843,471.75/x
  3. Step 3: Cross multiply
    33,996,344.25x = 72,843,471.75 × 72,843,471.75
  4. Step 4: Simplify right side
    33,996,344.25x = 5,306,171,376,593,048
  5. Step 5: Solve for x
    x = 5,306,171,376,593,048/33,996,344.25
  6. Step 6: Final answer
    x = 156,080,646.13

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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.