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Finding the Third Proportional to 3,221,608.50 and 6,947,349.75

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Solution

The third proportional to 3,221,608.50 and 6,947,349.75 is: 14,981,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221,608.50 : 6,947,349.75 = 6,947,349.75 : x
  2. Step 2: Convert to fraction form
    3,221,608.50/6,947,349.75 = 6,947,349.75/x
  3. Step 3: Cross multiply
    3,221,608.50x = 6,947,349.75 × 6,947,349.75
  4. Step 4: Simplify right side
    3,221,608.50x = 48,265,668,548,825.06
  5. Step 5: Solve for x
    x = 48,265,668,548,825.06/3,221,608.50
  6. Step 6: Final answer
    x = 14,981,854.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.