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Finding the Third Proportional to 12,647,107.13 and 27,212,382

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Solution

The third proportional to 12,647,107.13 and 27,212,382 is: 58,552,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647,107.13 : 27,212,382 = 27,212,382 : x
  2. Step 2: Convert to fraction form
    12,647,107.13/27,212,382 = 27,212,382/x
  3. Step 3: Cross multiply
    12,647,107.13x = 27,212,382 × 27,212,382
  4. Step 4: Simplify right side
    12,647,107.13x = 740,513,734,113,924
  5. Step 5: Solve for x
    x = 740,513,734,113,924/12,647,107.13
  6. Step 6: Final answer
    x = 58,552,025.12

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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.