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Finding the Third Proportional to 3,084,057 and 6,682,947

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Solution

The third proportional to 3,084,057 and 6,682,947 is: 14,481,502.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,057 : 6,682,947 = 6,682,947 : x
  2. Step 2: Convert to fraction form
    3,084,057/6,682,947 = 6,682,947/x
  3. Step 3: Cross multiply
    3,084,057x = 6,682,947 × 6,682,947
  4. Step 4: Simplify right side
    3,084,057x = 44,661,780,604,809
  5. Step 5: Solve for x
    x = 44,661,780,604,809/3,084,057
  6. Step 6: Final answer
    x = 14,481,502.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.