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Finding the Third Proportional to 3,898,489,230 and 8,511,367,824

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Solution

The third proportional to 3,898,489,230 and 8,511,367,824 is: 18,582,424,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898,489,230 : 8,511,367,824 = 8,511,367,824 : x
  2. Step 2: Convert to fraction form
    3,898,489,230/8,511,367,824 = 8,511,367,824/x
  3. Step 3: Cross multiply
    3,898,489,230x = 8,511,367,824 × 8,511,367,824
  4. Step 4: Simplify right side
    3,898,489,230x = 72,443,382,235,422,498,816
  5. Step 5: Solve for x
    x = 72,443,382,235,422,498,816/3,898,489,230
  6. Step 6: Final answer
    x = 18,582,424,616.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.