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Finding the Third Proportional to 33,794,337 and 69,380,211

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Solution

The third proportional to 33,794,337 and 69,380,211 is: 142,438,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,794,337 : 69,380,211 = 69,380,211 : x
  2. Step 2: Convert to fraction form
    33,794,337/69,380,211 = 69,380,211/x
  3. Step 3: Cross multiply
    33,794,337x = 69,380,211 × 69,380,211
  4. Step 4: Simplify right side
    33,794,337x = 4,813,613,678,404,521
  5. Step 5: Solve for x
    x = 4,813,613,678,404,521/33,794,337
  6. Step 6: Final answer
    x = 142,438,470.64

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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.