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Finding the Third Proportional to 33,309,074 and 74,276,864

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Solution

The third proportional to 33,309,074 and 74,276,864 is: 165,632,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,309,074 : 74,276,864 = 74,276,864 : x
  2. Step 2: Convert to fraction form
    33,309,074/74,276,864 = 74,276,864/x
  3. Step 3: Cross multiply
    33,309,074x = 74,276,864 × 74,276,864
  4. Step 4: Simplify right side
    33,309,074x = 5,517,052,525,674,496
  5. Step 5: Solve for x
    x = 5,517,052,525,674,496/33,309,074
  6. Step 6: Final answer
    x = 165,632,119.51

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