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Finding the Third Proportional to 55,983,022,771 and 123,377,168,837

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Solution

The third proportional to 55,983,022,771 and 123,377,168,837 is: 271,902,534,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,983,022,771 : 123,377,168,837 = 123,377,168,837 : x
  2. Step 2: Convert to fraction form
    55,983,022,771/123,377,168,837 = 123,377,168,837/x
  3. Step 3: Cross multiply
    55,983,022,771x = 123,377,168,837 × 123,377,168,837
  4. Step 4: Simplify right side
    55,983,022,771x = 15,221,925,790,233,604,915,200
  5. Step 5: Solve for x
    x = 15,221,925,790,233,604,915,200/55,983,022,771
  6. Step 6: Final answer
    x = 271,902,534,675.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.