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Finding the Third Proportional to 11,230,824 and 17,251,920

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Solution

The third proportional to 11,230,824 and 17,251,920 is: 26,501,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230,824 : 17,251,920 = 17,251,920 : x
  2. Step 2: Convert to fraction form
    11,230,824/17,251,920 = 17,251,920/x
  3. Step 3: Cross multiply
    11,230,824x = 17,251,920 × 17,251,920
  4. Step 4: Simplify right side
    11,230,824x = 297,628,743,686,400
  5. Step 5: Solve for x
    x = 297,628,743,686,400/11,230,824
  6. Step 6: Final answer
    x = 26,501,060.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.