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Finding the Third Proportional to 22,494,063,231 and 48,373,405,635.38

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Solution

The third proportional to 22,494,063,231 and 48,373,405,635.38 is: 104,026,842,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494,063,231 : 48,373,405,635.38 = 48,373,405,635.38 : x
  2. Step 2: Convert to fraction form
    22,494,063,231/48,373,405,635.38 = 48,373,405,635.38/x
  3. Step 3: Cross multiply
    22,494,063,231x = 48,373,405,635.38 × 48,373,405,635.38
  4. Step 4: Simplify right side
    22,494,063,231x = 2,339,986,372,764,529,852,416
  5. Step 5: Solve for x
    x = 2,339,986,372,764,529,852,416/22,494,063,231
  6. Step 6: Final answer
    x = 104,026,842,493.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.