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Finding the Third Proportional to 11,848,140,940 and 24,676,945,538

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Solution

The third proportional to 11,848,140,940 and 24,676,945,538 is: 51,396,387,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848,140,940 : 24,676,945,538 = 24,676,945,538 : x
  2. Step 2: Convert to fraction form
    11,848,140,940/24,676,945,538 = 24,676,945,538/x
  3. Step 3: Cross multiply
    11,848,140,940x = 24,676,945,538 × 24,676,945,538
  4. Step 4: Simplify right side
    11,848,140,940x = 608,951,641,085,418,143,744
  5. Step 5: Solve for x
    x = 608,951,641,085,418,143,744/11,848,140,940
  6. Step 6: Final answer
    x = 51,396,387,346.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.