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Finding the Third Proportional to 12,309,138 and 26,511,288

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Solution

The third proportional to 12,309,138 and 26,511,288 is: 57,099,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309,138 : 26,511,288 = 26,511,288 : x
  2. Step 2: Convert to fraction form
    12,309,138/26,511,288 = 26,511,288/x
  3. Step 3: Cross multiply
    12,309,138x = 26,511,288 × 26,511,288
  4. Step 4: Simplify right side
    12,309,138x = 702,848,391,418,944
  5. Step 5: Solve for x
    x = 702,848,391,418,944/12,309,138
  6. Step 6: Final answer
    x = 57,099,724.73

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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.