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Finding the Third Proportional to 17,474,962,296 and 38,511,878,384

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Solution

The third proportional to 17,474,962,296 and 38,511,878,384 is: 84,873,703,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474,962,296 : 38,511,878,384 = 38,511,878,384 : x
  2. Step 2: Convert to fraction form
    17,474,962,296/38,511,878,384 = 38,511,878,384/x
  3. Step 3: Cross multiply
    17,474,962,296x = 38,511,878,384 × 38,511,878,384
  4. Step 4: Simplify right side
    17,474,962,296x = 1,483,164,776,664,006,393,856
  5. Step 5: Solve for x
    x = 1,483,164,776,664,006,393,856/17,474,962,296
  6. Step 6: Final answer
    x = 84,873,703,962.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.