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Finding the Third Proportional to 55,983,019,984 and 123,377,162,398

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Solution

The third proportional to 55,983,019,984 and 123,377,162,398 is: 271,902,519,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,983,019,984 : 123,377,162,398 = 123,377,162,398 : x
  2. Step 2: Convert to fraction form
    55,983,019,984/123,377,162,398 = 123,377,162,398/x
  3. Step 3: Cross multiply
    55,983,019,984x = 123,377,162,398 × 123,377,162,398
  4. Step 4: Simplify right side
    55,983,019,984x = 15,221,924,201,382,465,765,376
  5. Step 5: Solve for x
    x = 15,221,924,201,382,465,765,376/55,983,019,984
  6. Step 6: Final answer
    x = 271,902,519,830.71

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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.