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Finding the Third Proportional to 55,983,019,978.97 and 123,377,162,388.89

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Solution

The third proportional to 55,983,019,978.97 and 123,377,162,388.89 is: 271,902,519,814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,983,019,978.97 : 123,377,162,388.89 = 123,377,162,388.89 : x
  2. Step 2: Convert to fraction form
    55,983,019,978.97/123,377,162,388.89 = 123,377,162,388.89/x
  3. Step 3: Cross multiply
    55,983,019,978.97x = 123,377,162,388.89 × 123,377,162,388.89
  4. Step 4: Simplify right side
    55,983,019,978.97x = 15,221,924,199,134,532,730,880
  5. Step 5: Solve for x
    x = 15,221,924,199,134,532,730,880/55,983,019,978.97
  6. Step 6: Final answer
    x = 271,902,519,814.99

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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.