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Finding the Third Proportional to 3,287,152.13 and 5,055,394.78

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Solution

The third proportional to 3,287,152.13 and 5,055,394.78 is: 7,774,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287,152.13 : 5,055,394.78 = 5,055,394.78 : x
  2. Step 2: Convert to fraction form
    3,287,152.13/5,055,394.78 = 5,055,394.78/x
  3. Step 3: Cross multiply
    3,287,152.13x = 5,055,394.78 × 5,055,394.78
  4. Step 4: Simplify right side
    3,287,152.13x = 25,557,016,394,289.73
  5. Step 5: Solve for x
    x = 25,557,016,394,289.73/3,287,152.13
  6. Step 6: Final answer
    x = 7,774,820.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.