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Finding the Third Proportional to 5,514,976 and 11,665,824

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Solution

The third proportional to 5,514,976 and 11,665,824 is: 24,676,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514,976 : 11,665,824 = 11,665,824 : x
  2. Step 2: Convert to fraction form
    5,514,976/11,665,824 = 11,665,824/x
  3. Step 3: Cross multiply
    5,514,976x = 11,665,824 × 11,665,824
  4. Step 4: Simplify right side
    5,514,976x = 136,091,449,598,976
  5. Step 5: Solve for x
    x = 136,091,449,598,976/5,514,976
  6. Step 6: Final answer
    x = 24,676,707.50

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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.