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Finding the Third Proportional to 3,321,371.25 and 6,907,821.75

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Solution

The third proportional to 3,321,371.25 and 6,907,821.75 is: 14,366,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321,371.25 : 6,907,821.75 = 6,907,821.75 : x
  2. Step 2: Convert to fraction form
    3,321,371.25/6,907,821.75 = 6,907,821.75/x
  3. Step 3: Cross multiply
    3,321,371.25x = 6,907,821.75 × 6,907,821.75
  4. Step 4: Simplify right side
    3,321,371.25x = 47,718,001,329,773.06
  5. Step 5: Solve for x
    x = 47,718,001,329,773.06/3,321,371.25
  6. Step 6: Final answer
    x = 14,366,958.02

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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.