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Finding the Third Proportional to 33,059,233.50 and 77,198,727.75

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Solution

The third proportional to 33,059,233.50 and 77,198,727.75 is: 180,271,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,059,233.50 : 77,198,727.75 = 77,198,727.75 : x
  2. Step 2: Convert to fraction form
    33,059,233.50/77,198,727.75 = 77,198,727.75/x
  3. Step 3: Cross multiply
    33,059,233.50x = 77,198,727.75 × 77,198,727.75
  4. Step 4: Simplify right side
    33,059,233.50x = 5,959,643,566,218,620
  5. Step 5: Solve for x
    x = 5,959,643,566,218,620/33,059,233.50
  6. Step 6: Final answer
    x = 180,271,680.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.