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Finding the Third Proportional to 2,738,378 and 6,106,393

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Solution

The third proportional to 2,738,378 and 6,106,393 is: 13,616,832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738,378 : 6,106,393 = 6,106,393 : x
  2. Step 2: Convert to fraction form
    2,738,378/6,106,393 = 6,106,393/x
  3. Step 3: Cross multiply
    2,738,378x = 6,106,393 × 6,106,393
  4. Step 4: Simplify right side
    2,738,378x = 37,288,035,470,449
  5. Step 5: Solve for x
    x = 37,288,035,470,449/2,738,378
  6. Step 6: Final answer
    x = 13,616,832.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.