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Finding the Third Proportional to 17,076,846,204,750 and 26,015,393,959,797

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Solution

The third proportional to 17,076,846,204,750 and 26,015,393,959,797 is: 39,632,653,170,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076,846,204,750 : 26,015,393,959,797 = 26,015,393,959,797 : x
  2. Step 2: Convert to fraction form
    17,076,846,204,750/26,015,393,959,797 = 26,015,393,959,797/x
  3. Step 3: Cross multiply
    17,076,846,204,750x = 26,015,393,959,797 × 26,015,393,959,797
  4. Step 4: Simplify right side
    17,076,846,204,750x = 676,800,722,883,442,187,138,236,416
  5. Step 5: Solve for x
    x = 676,800,722,883,442,187,138,236,416/17,076,846,204,750
  6. Step 6: Final answer
    x = 39,632,653,170,770.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.