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Finding the Third Proportional to 6,161,344 and 13,739,376

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Solution

The third proportional to 6,161,344 and 13,739,376 is: 30,637,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161,344 : 13,739,376 = 13,739,376 : x
  2. Step 2: Convert to fraction form
    6,161,344/13,739,376 = 13,739,376/x
  3. Step 3: Cross multiply
    6,161,344x = 13,739,376 × 13,739,376
  4. Step 4: Simplify right side
    6,161,344x = 188,770,452,869,376
  5. Step 5: Solve for x
    x = 188,770,452,869,376/6,161,344
  6. Step 6: Final answer
    x = 30,637,869.41

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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.