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Finding the Third Proportional to 12,638,422.50 and 27,223,617

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Solution

The third proportional to 12,638,422.50 and 27,223,617 is: 58,640,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638,422.50 : 27,223,617 = 27,223,617 : x
  2. Step 2: Convert to fraction form
    12,638,422.50/27,223,617 = 27,223,617/x
  3. Step 3: Cross multiply
    12,638,422.50x = 27,223,617 × 27,223,617
  4. Step 4: Simplify right side
    12,638,422.50x = 741,125,322,562,689
  5. Step 5: Solve for x
    x = 741,125,322,562,689/12,638,422.50
  6. Step 6: Final answer
    x = 58,640,650.96

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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.