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Finding the Third Proportional to 44,529,186,240 and 95,432,591,016

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Solution

The third proportional to 44,529,186,240 and 95,432,591,016 is: 204,526,069,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,529,186,240 : 95,432,591,016 = 95,432,591,016 : x
  2. Step 2: Convert to fraction form
    44,529,186,240/95,432,591,016 = 95,432,591,016/x
  3. Step 3: Cross multiply
    44,529,186,240x = 95,432,591,016 × 95,432,591,016
  4. Step 4: Simplify right side
    44,529,186,240x = 9,107,379,428,027,124,416,512
  5. Step 5: Solve for x
    x = 9,107,379,428,027,124,416,512/44,529,186,240
  6. Step 6: Final answer
    x = 204,526,069,237.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.