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Finding the Third Proportional to 3,857,279,296 and 8,372,128,040

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Solution

The third proportional to 3,857,279,296 and 8,372,128,040 is: 18,171,494,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,279,296 : 8,372,128,040 = 8,372,128,040 : x
  2. Step 2: Convert to fraction form
    3,857,279,296/8,372,128,040 = 8,372,128,040/x
  3. Step 3: Cross multiply
    3,857,279,296x = 8,372,128,040 × 8,372,128,040
  4. Step 4: Simplify right side
    3,857,279,296x = 70,092,527,918,154,244,096
  5. Step 5: Solve for x
    x = 70,092,527,918,154,244,096/3,857,279,296
  6. Step 6: Final answer
    x = 18,171,494,086.74

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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.