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Finding the Third Proportional to 6,786,228 and 14,044,824

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Solution

The third proportional to 6,786,228 and 14,044,824 is: 29,067,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786,228 : 14,044,824 = 14,044,824 : x
  2. Step 2: Convert to fraction form
    6,786,228/14,044,824 = 14,044,824/x
  3. Step 3: Cross multiply
    6,786,228x = 14,044,824 × 14,044,824
  4. Step 4: Simplify right side
    6,786,228x = 197,257,081,190,976
  5. Step 5: Solve for x
    x = 197,257,081,190,976/6,786,228
  6. Step 6: Final answer
    x = 29,067,264.05

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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.