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Finding the Third Proportional to 439,653,300,805 and 952,311,548,555

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Solution

The third proportional to 439,653,300,805 and 952,311,548,555 is: 2,062,755,548,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,653,300,805 : 952,311,548,555 = 952,311,548,555 : x
  2. Step 2: Convert to fraction form
    439,653,300,805/952,311,548,555 = 952,311,548,555/x
  3. Step 3: Cross multiply
    439,653,300,805x = 952,311,548,555 × 952,311,548,555
  4. Step 4: Simplify right side
    439,653,300,805x = 906,897,285,511,222,162,096,128
  5. Step 5: Solve for x
    x = 906,897,285,511,222,162,096,128/439,653,300,805
  6. Step 6: Final answer
    x = 2,062,755,548,180.13

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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.