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Finding the Third Proportional to 33,028,074 and 69,067,647

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Solution

The third proportional to 33,028,074 and 69,067,647 is: 144,432,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,028,074 : 69,067,647 = 69,067,647 : x
  2. Step 2: Convert to fraction form
    33,028,074/69,067,647 = 69,067,647/x
  3. Step 3: Cross multiply
    33,028,074x = 69,067,647 × 69,067,647
  4. Step 4: Simplify right side
    33,028,074x = 4,770,339,862,116,609
  5. Step 5: Solve for x
    x = 4,770,339,862,116,609/33,028,074
  6. Step 6: Final answer
    x = 144,432,880.41

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.