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Finding the Third Proportional to 41,206,635,777 and 89,258,905,230

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Solution

The third proportional to 41,206,635,777 and 89,258,905,230 is: 193,346,338,826.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,206,635,777 : 89,258,905,230 = 89,258,905,230 : x
  2. Step 2: Convert to fraction form
    41,206,635,777/89,258,905,230 = 89,258,905,230/x
  3. Step 3: Cross multiply
    41,206,635,777x = 89,258,905,230 × 89,258,905,230
  4. Step 4: Simplify right side
    41,206,635,777x = 7,967,152,162,858,121,297,920
  5. Step 5: Solve for x
    x = 7,967,152,162,858,121,297,920/41,206,635,777
  6. Step 6: Final answer
    x = 193,346,338,826.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.