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Finding the Third Proportional to 4,275,378 and 6,625,658.25

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Solution

The third proportional to 4,275,378 and 6,625,658.25 is: 10,267,945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275,378 : 6,625,658.25 = 6,625,658.25 : x
  2. Step 2: Convert to fraction form
    4,275,378/6,625,658.25 = 6,625,658.25/x
  3. Step 3: Cross multiply
    4,275,378x = 6,625,658.25 × 6,625,658.25
  4. Step 4: Simplify right side
    4,275,378x = 43,899,347,245,793.06
  5. Step 5: Solve for x
    x = 43,899,347,245,793.06/4,275,378
  6. Step 6: Final answer
    x = 10,267,945.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.