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Finding the Third Proportional to 33,309,049.50 and 74,276,815.50

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Solution

The third proportional to 33,309,049.50 and 74,276,815.50 is: 165,632,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,309,049.50 : 74,276,815.50 = 74,276,815.50 : x
  2. Step 2: Convert to fraction form
    33,309,049.50/74,276,815.50 = 74,276,815.50/x
  3. Step 3: Cross multiply
    33,309,049.50x = 74,276,815.50 × 74,276,815.50
  4. Step 4: Simplify right side
    33,309,049.50x = 5,517,045,320,821,040
  5. Step 5: Solve for x
    x = 5,517,045,320,821,040/33,309,049.50
  6. Step 6: Final answer
    x = 165,632,025.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.