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Finding the Third Proportional to 41,206,635,779 and 89,258,905,234

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Solution

The third proportional to 41,206,635,779 and 89,258,905,234 is: 193,346,338,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,206,635,779 : 89,258,905,234 = 89,258,905,234 : x
  2. Step 2: Convert to fraction form
    41,206,635,779/89,258,905,234 = 89,258,905,234/x
  3. Step 3: Cross multiply
    41,206,635,779x = 89,258,905,234 × 89,258,905,234
  4. Step 4: Simplify right side
    41,206,635,779x = 7,967,152,163,572,192,116,736
  5. Step 5: Solve for x
    x = 7,967,152,163,572,192,116,736/41,206,635,779
  6. Step 6: Final answer
    x = 193,346,338,834.88

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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.