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Finding the Third Proportional to 2,540,499,057 and 5,503,150,485

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Solution

The third proportional to 2,540,499,057 and 5,503,150,485 is: 11,920,754,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,499,057 : 5,503,150,485 = 5,503,150,485 : x
  2. Step 2: Convert to fraction form
    2,540,499,057/5,503,150,485 = 5,503,150,485/x
  3. Step 3: Cross multiply
    2,540,499,057x = 5,503,150,485 × 5,503,150,485
  4. Step 4: Simplify right side
    2,540,499,057x = 30,284,665,260,555,735,040
  5. Step 5: Solve for x
    x = 30,284,665,260,555,735,040/2,540,499,057
  6. Step 6: Final answer
    x = 11,920,754,379.78

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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.