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Finding the Third Proportional to 17,076,846,204,663 and 26,015,393,959,668

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Solution

The third proportional to 17,076,846,204,663 and 26,015,393,959,668 is: 39,632,653,170,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076,846,204,663 : 26,015,393,959,668 = 26,015,393,959,668 : x
  2. Step 2: Convert to fraction form
    17,076,846,204,663/26,015,393,959,668 = 26,015,393,959,668/x
  3. Step 3: Cross multiply
    17,076,846,204,663x = 26,015,393,959,668 × 26,015,393,959,668
  4. Step 4: Simplify right side
    17,076,846,204,663x = 676,800,722,876,730,218,406,477,824
  5. Step 5: Solve for x
    x = 676,800,722,876,730,218,406,477,824/17,076,846,204,663
  6. Step 6: Final answer
    x = 39,632,653,170,579.19

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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.