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Finding the Third Proportional to 33,794,374.50 and 69,380,274.09

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Solution

The third proportional to 33,794,374.50 and 69,380,274.09 is: 142,438,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,794,374.50 : 69,380,274.09 = 69,380,274.09 : x
  2. Step 2: Convert to fraction form
    33,794,374.50/69,380,274.09 = 69,380,274.09/x
  3. Step 3: Cross multiply
    33,794,374.50x = 69,380,274.09 × 69,380,274.09
  4. Step 4: Simplify right side
    33,794,374.50x = 4,813,622,433,323,877
  5. Step 5: Solve for x
    x = 4,813,622,433,323,877/33,794,374.50
  6. Step 6: Final answer
    x = 142,438,571.64

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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.