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Finding the Third Proportional to 2,662,192,844 and 5,693,670,458

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Solution

The third proportional to 2,662,192,844 and 5,693,670,458 is: 12,177,135,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662,192,844 : 5,693,670,458 = 5,693,670,458 : x
  2. Step 2: Convert to fraction form
    2,662,192,844/5,693,670,458 = 5,693,670,458/x
  3. Step 3: Cross multiply
    2,662,192,844x = 5,693,670,458 × 5,693,670,458
  4. Step 4: Simplify right side
    2,662,192,844x = 32,417,883,284,301,930,496
  5. Step 5: Solve for x
    x = 32,417,883,284,301,930,496/2,662,192,844
  6. Step 6: Final answer
    x = 12,177,135,611.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.