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Finding the Third Proportional to 6,194,069 and 13,337,218

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Solution

The third proportional to 6,194,069 and 13,337,218 is: 28,718,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194,069 : 13,337,218 = 13,337,218 : x
  2. Step 2: Convert to fraction form
    6,194,069/13,337,218 = 13,337,218/x
  3. Step 3: Cross multiply
    6,194,069x = 13,337,218 × 13,337,218
  4. Step 4: Simplify right side
    6,194,069x = 177,881,383,979,524
  5. Step 5: Solve for x
    x = 177,881,383,979,524/6,194,069
  6. Step 6: Final answer
    x = 28,718,017.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.