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Finding the Third Proportional to 33,176,185.88 and 72,729,694.13

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Solution

The third proportional to 33,176,185.88 and 72,729,694.13 is: 159,439,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,176,185.88 : 72,729,694.13 = 72,729,694.13 : x
  2. Step 2: Convert to fraction form
    33,176,185.88/72,729,694.13 = 72,729,694.13/x
  3. Step 3: Cross multiply
    33,176,185.88x = 72,729,694.13 × 72,729,694.13
  4. Step 4: Simplify right side
    33,176,185.88x = 5,289,608,407,516,060
  5. Step 5: Solve for x
    x = 5,289,608,407,516,060/33,176,185.88
  6. Step 6: Final answer
    x = 159,439,919.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.