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Finding the Third Proportional to 3,221,318.25 and 6,947,023.50

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Solution

The third proportional to 3,221,318.25 and 6,947,023.50 is: 14,981,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221,318.25 : 6,947,023.50 = 6,947,023.50 : x
  2. Step 2: Convert to fraction form
    3,221,318.25/6,947,023.50 = 6,947,023.50/x
  3. Step 3: Cross multiply
    3,221,318.25x = 6,947,023.50 × 6,947,023.50
  4. Step 4: Simplify right side
    3,221,318.25x = 48,261,135,509,552.25
  5. Step 5: Solve for x
    x = 48,261,135,509,552.25/3,221,318.25
  6. Step 6: Final answer
    x = 14,981,796.82

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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.