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Finding the Third Proportional to 6,786,228 and 14,044,821

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Solution

The third proportional to 6,786,228 and 14,044,821 is: 29,067,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786,228 : 14,044,821 = 14,044,821 : x
  2. Step 2: Convert to fraction form
    6,786,228/14,044,821 = 14,044,821/x
  3. Step 3: Cross multiply
    6,786,228x = 14,044,821 × 14,044,821
  4. Step 4: Simplify right side
    6,786,228x = 197,256,996,922,041
  5. Step 5: Solve for x
    x = 197,256,996,922,041/6,786,228
  6. Step 6: Final answer
    x = 29,067,251.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.