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Finding the Third Proportional to 5,659,137 and 12,275,281

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Solution

The third proportional to 5,659,137 and 12,275,281 is: 26,626,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659,137 : 12,275,281 = 12,275,281 : x
  2. Step 2: Convert to fraction form
    5,659,137/12,275,281 = 12,275,281/x
  3. Step 3: Cross multiply
    5,659,137x = 12,275,281 × 12,275,281
  4. Step 4: Simplify right side
    5,659,137x = 150,682,523,628,961
  5. Step 5: Solve for x
    x = 150,682,523,628,961/5,659,137
  6. Step 6: Final answer
    x = 26,626,413.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.