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Finding the Third Proportional to 6,834,448 and 15,033,144

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Solution

The third proportional to 6,834,448 and 15,033,144 is: 33,067,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834,448 : 15,033,144 = 15,033,144 : x
  2. Step 2: Convert to fraction form
    6,834,448/15,033,144 = 15,033,144/x
  3. Step 3: Cross multiply
    6,834,448x = 15,033,144 × 15,033,144
  4. Step 4: Simplify right side
    6,834,448x = 225,995,418,524,736
  5. Step 5: Solve for x
    x = 225,995,418,524,736/6,834,448
  6. Step 6: Final answer
    x = 33,067,106.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.