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Finding the Third Proportional to 2,738,369 and 6,106,378

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Solution

The third proportional to 2,738,369 and 6,106,378 is: 13,616,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738,369 : 6,106,378 = 6,106,378 : x
  2. Step 2: Convert to fraction form
    2,738,369/6,106,378 = 6,106,378/x
  3. Step 3: Cross multiply
    2,738,369x = 6,106,378 × 6,106,378
  4. Step 4: Simplify right side
    2,738,369x = 37,287,852,278,884
  5. Step 5: Solve for x
    x = 37,287,852,278,884/2,738,369
  6. Step 6: Final answer
    x = 13,616,810.69

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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.