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Finding the Third Proportional to 2,603,638 and 5,640,307

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Solution

The third proportional to 2,603,638 and 5,640,307 is: 12,218,696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603,638 : 5,640,307 = 5,640,307 : x
  2. Step 2: Convert to fraction form
    2,603,638/5,640,307 = 5,640,307/x
  3. Step 3: Cross multiply
    2,603,638x = 5,640,307 × 5,640,307
  4. Step 4: Simplify right side
    2,603,638x = 31,813,063,054,249
  5. Step 5: Solve for x
    x = 31,813,063,054,249/2,603,638
  6. Step 6: Final answer
    x = 12,218,696.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.