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Finding the Third Proportional to 33,649,382.25 and 73,041,625.97

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Solution

The third proportional to 33,649,382.25 and 73,041,625.97 is: 158,549,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649,382.25 : 73,041,625.97 = 73,041,625.97 : x
  2. Step 2: Convert to fraction form
    33,649,382.25/73,041,625.97 = 73,041,625.97/x
  3. Step 3: Cross multiply
    33,649,382.25x = 73,041,625.97 × 73,041,625.97
  4. Step 4: Simplify right side
    33,649,382.25x = 5,335,079,124,158,774
  5. Step 5: Solve for x
    x = 5,335,079,124,158,774/33,649,382.25
  6. Step 6: Final answer
    x = 158,549,095.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.