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Finding the Third Proportional to 6,794,898 and 14,376,824

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Solution

The third proportional to 6,794,898 and 14,376,824 is: 30,418,862.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794,898 : 14,376,824 = 14,376,824 : x
  2. Step 2: Convert to fraction form
    6,794,898/14,376,824 = 14,376,824/x
  3. Step 3: Cross multiply
    6,794,898x = 14,376,824 × 14,376,824
  4. Step 4: Simplify right side
    6,794,898x = 206,693,068,326,976
  5. Step 5: Solve for x
    x = 206,693,068,326,976/6,794,898
  6. Step 6: Final answer
    x = 30,418,862.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.