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Finding the Third Proportional to 17,725,959,405 and 38,393,451,306

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Solution

The third proportional to 17,725,959,405 and 38,393,451,306 is: 83,158,099,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725,959,405 : 38,393,451,306 = 38,393,451,306 : x
  2. Step 2: Convert to fraction form
    17,725,959,405/38,393,451,306 = 38,393,451,306/x
  3. Step 3: Cross multiply
    17,725,959,405x = 38,393,451,306 × 38,393,451,306
  4. Step 4: Simplify right side
    17,725,959,405x = 1,474,057,103,186,193,022,976
  5. Step 5: Solve for x
    x = 1,474,057,103,186,193,022,976/17,725,959,405
  6. Step 6: Final answer
    x = 83,158,099,909.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.