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Finding the Third Proportional to 11,848,140,868 and 24,676,945,380

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Solution

The third proportional to 11,848,140,868 and 24,676,945,380 is: 51,396,387,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848,140,868 : 24,676,945,380 = 24,676,945,380 : x
  2. Step 2: Convert to fraction form
    11,848,140,868/24,676,945,380 = 24,676,945,380/x
  3. Step 3: Cross multiply
    11,848,140,868x = 24,676,945,380 × 24,676,945,380
  4. Step 4: Simplify right side
    11,848,140,868x = 608,951,633,287,503,282,176
  5. Step 5: Solve for x
    x = 608,951,633,287,503,282,176/11,848,140,868
  6. Step 6: Final answer
    x = 51,396,387,000.44

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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.