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Finding the Third Proportional to 367,770,814 and 800,111,204

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Solution

The third proportional to 367,770,814 and 800,111,204 is: 1,740,698,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,770,814 : 800,111,204 = 800,111,204 : x
  2. Step 2: Convert to fraction form
    367,770,814/800,111,204 = 800,111,204/x
  3. Step 3: Cross multiply
    367,770,814x = 800,111,204 × 800,111,204
  4. Step 4: Simplify right side
    367,770,814x = 640,177,938,766,329,600
  5. Step 5: Solve for x
    x = 640,177,938,766,329,600/367,770,814
  6. Step 6: Final answer
    x = 1,740,698,049.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.