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Finding the Third Proportional to 2,711,320 and 5,647,208

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Solution

The third proportional to 2,711,320 and 5,647,208 is: 11,762,152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711,320 : 5,647,208 = 5,647,208 : x
  2. Step 2: Convert to fraction form
    2,711,320/5,647,208 = 5,647,208/x
  3. Step 3: Cross multiply
    2,711,320x = 5,647,208 × 5,647,208
  4. Step 4: Simplify right side
    2,711,320x = 31,890,958,195,264
  5. Step 5: Solve for x
    x = 31,890,958,195,264/2,711,320
  6. Step 6: Final answer
    x = 11,762,152.09

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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.