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Finding the Third Proportional to 558,883,850,333 and 1,215,690,059,866

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Solution

The third proportional to 558,883,850,333 and 1,215,690,059,866 is: 2,644,381,870,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,883,850,333 : 1,215,690,059,866 = 1,215,690,059,866 : x
  2. Step 2: Convert to fraction form
    558,883,850,333/1,215,690,059,866 = 1,215,690,059,866/x
  3. Step 3: Cross multiply
    558,883,850,333x = 1,215,690,059,866 × 1,215,690,059,866
  4. Step 4: Simplify right side
    558,883,850,333x = 1,477,902,321,656,998,590,939,136
  5. Step 5: Solve for x
    x = 1,477,902,321,656,998,590,939,136/558,883,850,333
  6. Step 6: Final answer
    x = 2,644,381,870,716.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.