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Finding the Third Proportional to 3,898,489,229 and 8,511,367,822

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Solution

The third proportional to 3,898,489,229 and 8,511,367,822 is: 18,582,424,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898,489,229 : 8,511,367,822 = 8,511,367,822 : x
  2. Step 2: Convert to fraction form
    3,898,489,229/8,511,367,822 = 8,511,367,822/x
  3. Step 3: Cross multiply
    3,898,489,229x = 8,511,367,822 × 8,511,367,822
  4. Step 4: Simplify right side
    3,898,489,229x = 72,443,382,201,377,021,952
  5. Step 5: Solve for x
    x = 72,443,382,201,377,021,952/3,898,489,229
  6. Step 6: Final answer
    x = 18,582,424,612.72

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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.