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Finding the Third Proportional to 3,206,795.50 and 6,678,947

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Solution

The third proportional to 3,206,795.50 and 6,678,947 is: 13,910,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206,795.50 : 6,678,947 = 6,678,947 : x
  2. Step 2: Convert to fraction form
    3,206,795.50/6,678,947 = 6,678,947/x
  3. Step 3: Cross multiply
    3,206,795.50x = 6,678,947 × 6,678,947
  4. Step 4: Simplify right side
    3,206,795.50x = 44,608,333,028,809
  5. Step 5: Solve for x
    x = 44,608,333,028,809/3,206,795.50
  6. Step 6: Final answer
    x = 13,910,563.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.