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Finding the Third Proportional to 3,857,279,300 and 8,372,128,048

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Solution

The third proportional to 3,857,279,300 and 8,372,128,048 is: 18,171,494,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,279,300 : 8,372,128,048 = 8,372,128,048 : x
  2. Step 2: Convert to fraction form
    3,857,279,300/8,372,128,048 = 8,372,128,048/x
  3. Step 3: Cross multiply
    3,857,279,300x = 8,372,128,048 × 8,372,128,048
  4. Step 4: Simplify right side
    3,857,279,300x = 70,092,528,052,108,288,000
  5. Step 5: Solve for x
    x = 70,092,528,052,108,288,000/3,857,279,300
  6. Step 6: Final answer
    x = 18,171,494,102.62

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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.