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Finding the Third Proportional to 41,523,770 and 90,867,536

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Solution

The third proportional to 41,523,770 and 90,867,536 is: 198,847,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,523,770 : 90,867,536 = 90,867,536 : x
  2. Step 2: Convert to fraction form
    41,523,770/90,867,536 = 90,867,536/x
  3. Step 3: Cross multiply
    41,523,770x = 90,867,536 × 90,867,536
  4. Step 4: Simplify right side
    41,523,770x = 8,256,909,098,711,296
  5. Step 5: Solve for x
    x = 8,256,909,098,711,296/41,523,770
  6. Step 6: Final answer
    x = 198,847,770.78

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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.