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Finding the Third Proportional to 3,065,863.50 and 6,449,193

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Solution

The third proportional to 3,065,863.50 and 6,449,193 is: 13,566,191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065,863.50 : 6,449,193 = 6,449,193 : x
  2. Step 2: Convert to fraction form
    3,065,863.50/6,449,193 = 6,449,193/x
  3. Step 3: Cross multiply
    3,065,863.50x = 6,449,193 × 6,449,193
  4. Step 4: Simplify right side
    3,065,863.50x = 41,592,090,351,249
  5. Step 5: Solve for x
    x = 41,592,090,351,249/3,065,863.50
  6. Step 6: Final answer
    x = 13,566,191.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.