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Finding the Third Proportional to 41,781,093,060 and 91,770,195,165

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Solution

The third proportional to 41,781,093,060 and 91,770,195,165 is: 201,568,894,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,781,093,060 : 91,770,195,165 = 91,770,195,165 : x
  2. Step 2: Convert to fraction form
    41,781,093,060/91,770,195,165 = 91,770,195,165/x
  3. Step 3: Cross multiply
    41,781,093,060x = 91,770,195,165 × 91,770,195,165
  4. Step 4: Simplify right side
    41,781,093,060x = 8,421,768,720,622,189,281,280
  5. Step 5: Solve for x
    x = 8,421,768,720,622,189,281,280/41,781,093,060
  6. Step 6: Final answer
    x = 201,568,894,057.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.