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Finding the Third Proportional to 4,486,509 and 6,770,891.25

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Solution

The third proportional to 4,486,509 and 6,770,891.25 is: 10,218,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,509 : 6,770,891.25 = 6,770,891.25 : x
  2. Step 2: Convert to fraction form
    4,486,509/6,770,891.25 = 6,770,891.25/x
  3. Step 3: Cross multiply
    4,486,509x = 6,770,891.25 × 6,770,891.25
  4. Step 4: Simplify right side
    4,486,509x = 45,844,968,319,326.56
  5. Step 5: Solve for x
    x = 45,844,968,319,326.56/4,486,509
  6. Step 6: Final answer
    x = 10,218,405.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.