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Finding the Third Proportional to 12,647,107 and 27,212,380

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Solution

The third proportional to 12,647,107 and 27,212,380 is: 58,552,017.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647,107 : 27,212,380 = 27,212,380 : x
  2. Step 2: Convert to fraction form
    12,647,107/27,212,380 = 27,212,380/x
  3. Step 3: Cross multiply
    12,647,107x = 27,212,380 × 27,212,380
  4. Step 4: Simplify right side
    12,647,107x = 740,513,625,264,400
  5. Step 5: Solve for x
    x = 740,513,625,264,400/12,647,107
  6. Step 6: Final answer
    x = 58,552,017.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.