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Finding the Third Proportional to 51,098,505,016 and 111,829,850,520

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Solution

The third proportional to 51,098,505,016 and 111,829,850,520 is: 244,741,318,036.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,098,505,016 : 111,829,850,520 = 111,829,850,520 : x
  2. Step 2: Convert to fraction form
    51,098,505,016/111,829,850,520 = 111,829,850,520/x
  3. Step 3: Cross multiply
    51,098,505,016x = 111,829,850,520 × 111,829,850,520
  4. Step 4: Simplify right side
    51,098,505,016x = 12,505,915,467,325,543,284,736
  5. Step 5: Solve for x
    x = 12,505,915,467,325,543,284,736/51,098,505,016
  6. Step 6: Final answer
    x = 244,741,318,036.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.