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Finding the Third Proportional to 3,898,489,236 and 8,511,367,836

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Solution

The third proportional to 3,898,489,236 and 8,511,367,836 is: 18,582,424,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898,489,236 : 8,511,367,836 = 8,511,367,836 : x
  2. Step 2: Convert to fraction form
    3,898,489,236/8,511,367,836 = 8,511,367,836/x
  3. Step 3: Cross multiply
    3,898,489,236x = 8,511,367,836 × 8,511,367,836
  4. Step 4: Simplify right side
    3,898,489,236x = 72,443,382,439,695,319,040
  5. Step 5: Solve for x
    x = 72,443,382,439,695,319,040/3,898,489,236
  6. Step 6: Final answer
    x = 18,582,424,640.48

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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.