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Finding the Third Proportional to 51,098,505,009 and 111,829,850,508

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Solution

The third proportional to 51,098,505,009 and 111,829,850,508 is: 244,741,318,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,098,505,009 : 111,829,850,508 = 111,829,850,508 : x
  2. Step 2: Convert to fraction form
    51,098,505,009/111,829,850,508 = 111,829,850,508/x
  3. Step 3: Cross multiply
    51,098,505,009x = 111,829,850,508 × 111,829,850,508
  4. Step 4: Simplify right side
    51,098,505,009x = 12,505,915,464,641,627,029,504
  5. Step 5: Solve for x
    x = 12,505,915,464,641,627,029,504/51,098,505,009
  6. Step 6: Final answer
    x = 244,741,318,017.80

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