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Finding the Third Proportional to 2,540,498,978 and 5,503,150,326

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Solution

The third proportional to 2,540,498,978 and 5,503,150,326 is: 11,920,754,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,498,978 : 5,503,150,326 = 5,503,150,326 : x
  2. Step 2: Convert to fraction form
    2,540,498,978/5,503,150,326 = 5,503,150,326/x
  3. Step 3: Cross multiply
    2,540,498,978x = 5,503,150,326 × 5,503,150,326
  4. Step 4: Simplify right side
    2,540,498,978x = 30,284,663,510,553,907,200
  5. Step 5: Solve for x
    x = 30,284,663,510,553,907,200/2,540,498,978
  6. Step 6: Final answer
    x = 11,920,754,061.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.