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Finding the Third Proportional to 12,638,410.50 and 27,223,593

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Solution

The third proportional to 12,638,410.50 and 27,223,593 is: 58,640,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638,410.50 : 27,223,593 = 27,223,593 : x
  2. Step 2: Convert to fraction form
    12,638,410.50/27,223,593 = 27,223,593/x
  3. Step 3: Cross multiply
    12,638,410.50x = 27,223,593 × 27,223,593
  4. Step 4: Simplify right side
    12,638,410.50x = 741,124,015,829,649
  5. Step 5: Solve for x
    x = 741,124,015,829,649/12,638,410.50
  6. Step 6: Final answer
    x = 58,640,603.25

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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.