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Finding the Third Proportional to 12,638,424.75 and 27,223,620.75

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Solution

The third proportional to 12,638,424.75 and 27,223,620.75 is: 58,640,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638,424.75 : 27,223,620.75 = 27,223,620.75 : x
  2. Step 2: Convert to fraction form
    12,638,424.75/27,223,620.75 = 27,223,620.75/x
  3. Step 3: Cross multiply
    12,638,424.75x = 27,223,620.75 × 27,223,620.75
  4. Step 4: Simplify right side
    12,638,424.75x = 741,125,526,739,830.50
  5. Step 5: Solve for x
    x = 741,125,526,739,830.50/12,638,424.75
  6. Step 6: Final answer
    x = 58,640,656.68

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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.