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Finding the Third Proportional to 33,309,042.75 and 74,276,800.03

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Solution

The third proportional to 33,309,042.75 and 74,276,800.03 is: 165,631,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,309,042.75 : 74,276,800.03 = 74,276,800.03 : x
  2. Step 2: Convert to fraction form
    33,309,042.75/74,276,800.03 = 74,276,800.03/x
  3. Step 3: Cross multiply
    33,309,042.75x = 74,276,800.03 × 74,276,800.03
  4. Step 4: Simplify right side
    33,309,042.75x = 5,517,043,022,882,300
  5. Step 5: Solve for x
    x = 5,517,043,022,882,300/33,309,042.75
  6. Step 6: Final answer
    x = 165,631,989.62

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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.