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Finding the Third Proportional to 41,512,920 and 90,843,834

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Solution

The third proportional to 41,512,920 and 90,843,834 is: 198,795,993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,512,920 : 90,843,834 = 90,843,834 : x
  2. Step 2: Convert to fraction form
    41,512,920/90,843,834 = 90,843,834/x
  3. Step 3: Cross multiply
    41,512,920x = 90,843,834 × 90,843,834
  4. Step 4: Simplify right side
    41,512,920x = 8,252,602,175,819,556
  5. Step 5: Solve for x
    x = 8,252,602,175,819,556/41,512,920
  6. Step 6: Final answer
    x = 198,795,993.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.