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Finding the Third Proportional to 6,383,938 and 10,163,017

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Solution

The third proportional to 6,383,938 and 10,163,017 is: 16,179,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383,938 : 10,163,017 = 10,163,017 : x
  2. Step 2: Convert to fraction form
    6,383,938/10,163,017 = 10,163,017/x
  3. Step 3: Cross multiply
    6,383,938x = 10,163,017 × 10,163,017
  4. Step 4: Simplify right side
    6,383,938x = 103,286,914,542,289
  5. Step 5: Solve for x
    x = 103,286,914,542,289/6,383,938
  6. Step 6: Final answer
    x = 16,179,185.10

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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.