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Finding the Third Proportional to 2,540,758,378 and 5,503,614,164

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Solution

The third proportional to 2,540,758,378 and 5,503,614,164 is: 11,921,546,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,758,378 : 5,503,614,164 = 5,503,614,164 : x
  2. Step 2: Convert to fraction form
    2,540,758,378/5,503,614,164 = 5,503,614,164/x
  3. Step 3: Cross multiply
    2,540,758,378x = 5,503,614,164 × 5,503,614,164
  4. Step 4: Simplify right side
    2,540,758,378x = 30,289,768,866,181,419,008
  5. Step 5: Solve for x
    x = 30,289,768,866,181,419,008/2,540,758,378
  6. Step 6: Final answer
    x = 11,921,546,388.85

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Why These Related Problems?

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