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Finding the Third Proportional to 3,378,309.75 and 7,288,058.25

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Solution

The third proportional to 3,378,309.75 and 7,288,058.25 is: 15,722,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378,309.75 : 7,288,058.25 = 7,288,058.25 : x
  2. Step 2: Convert to fraction form
    3,378,309.75/7,288,058.25 = 7,288,058.25/x
  3. Step 3: Cross multiply
    3,378,309.75x = 7,288,058.25 × 7,288,058.25
  4. Step 4: Simplify right side
    3,378,309.75x = 53,115,793,055,393.06
  5. Step 5: Solve for x
    x = 53,115,793,055,393.06/3,378,309.75
  6. Step 6: Final answer
    x = 15,722,594.13

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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.