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Finding the Third Proportional to 2,711,324 and 5,647,216

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Solution

The third proportional to 2,711,324 and 5,647,216 is: 11,762,168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711,324 : 5,647,216 = 5,647,216 : x
  2. Step 2: Convert to fraction form
    2,711,324/5,647,216 = 5,647,216/x
  3. Step 3: Cross multiply
    2,711,324x = 5,647,216 × 5,647,216
  4. Step 4: Simplify right side
    2,711,324x = 31,891,048,550,656
  5. Step 5: Solve for x
    x = 31,891,048,550,656/2,711,324
  6. Step 6: Final answer
    x = 11,762,168.06

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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.