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Finding the Third Proportional to 6,383,941 and 10,163,021

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Solution

The third proportional to 6,383,941 and 10,163,021 is: 16,179,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383,941 : 10,163,021 = 10,163,021 : x
  2. Step 2: Convert to fraction form
    6,383,941/10,163,021 = 10,163,021/x
  3. Step 3: Cross multiply
    6,383,941x = 10,163,021 × 10,163,021
  4. Step 4: Simplify right side
    6,383,941x = 103,286,995,846,441
  5. Step 5: Solve for x
    x = 103,286,995,846,441/6,383,941
  6. Step 6: Final answer
    x = 16,179,190.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.