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Finding the Third Proportional to 20,405,811,958,098 and 44,970,978,376,182

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Solution

The third proportional to 20,405,811,958,098 and 44,970,978,376,182 is: 99,108,474,598,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,405,811,958,098 : 44,970,978,376,182 = 44,970,978,376,182 : x
  2. Step 2: Convert to fraction form
    20,405,811,958,098/44,970,978,376,182 = 44,970,978,376,182/x
  3. Step 3: Cross multiply
    20,405,811,958,098x = 44,970,978,376,182 × 44,970,978,376,182
  4. Step 4: Simplify right side
    20,405,811,958,098x = 2,022,388,896,111,029,144,027,922,432
  5. Step 5: Solve for x
    x = 2,022,388,896,111,029,144,027,922,432/20,405,811,958,098
  6. Step 6: Final answer
    x = 99,108,474,598,505.19

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