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Finding the Third Proportional to 439,653,300,786 and 952,311,548,520

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Solution

The third proportional to 439,653,300,786 and 952,311,548,520 is: 2,062,755,548,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,653,300,786 : 952,311,548,520 = 952,311,548,520 : x
  2. Step 2: Convert to fraction form
    439,653,300,786/952,311,548,520 = 952,311,548,520/x
  3. Step 3: Cross multiply
    439,653,300,786x = 952,311,548,520 × 952,311,548,520
  4. Step 4: Simplify right side
    439,653,300,786x = 906,897,285,444,560,377,348,096
  5. Step 5: Solve for x
    x = 906,897,285,444,560,377,348,096/439,653,300,786
  6. Step 6: Final answer
    x = 2,062,755,548,117.65

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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.