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Finding the Third Proportional to 33,794,328.94 and 69,380,198.16

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Solution

The third proportional to 33,794,328.94 and 69,380,198.16 is: 142,438,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,794,328.94 : 69,380,198.16 = 69,380,198.16 : x
  2. Step 2: Convert to fraction form
    33,794,328.94/69,380,198.16 = 69,380,198.16/x
  3. Step 3: Cross multiply
    33,794,328.94x = 69,380,198.16 × 69,380,198.16
  4. Step 4: Simplify right side
    33,794,328.94x = 4,813,611,896,200,516
  5. Step 5: Solve for x
    x = 4,813,611,896,200,516/33,794,328.94
  6. Step 6: Final answer
    x = 142,438,451.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.