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Finding the Third Proportional to 2,825,093.50 and 6,178,334

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Solution

The third proportional to 2,825,093.50 and 6,178,334 is: 13,511,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825,093.50 : 6,178,334 = 6,178,334 : x
  2. Step 2: Convert to fraction form
    2,825,093.50/6,178,334 = 6,178,334/x
  3. Step 3: Cross multiply
    2,825,093.50x = 6,178,334 × 6,178,334
  4. Step 4: Simplify right side
    2,825,093.50x = 38,171,811,015,556
  5. Step 5: Solve for x
    x = 38,171,811,015,556/2,825,093.50
  6. Step 6: Final answer
    x = 13,511,698.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.