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Finding the Third Proportional to 5,843,194,663 and 11,848,983,071

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Solution

The third proportional to 5,843,194,663 and 11,848,983,071 is: 24,027,677,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843,194,663 : 11,848,983,071 = 11,848,983,071 : x
  2. Step 2: Convert to fraction form
    5,843,194,663/11,848,983,071 = 11,848,983,071/x
  3. Step 3: Cross multiply
    5,843,194,663x = 11,848,983,071 × 11,848,983,071
  4. Step 4: Simplify right side
    5,843,194,663x = 140,398,399,816,844,591,104
  5. Step 5: Solve for x
    x = 140,398,399,816,844,591,104/5,843,194,663
  6. Step 6: Final answer
    x = 24,027,677,993.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.