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Finding the Third Proportional to 378,794,175,279 and 824,271,383,190

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Solution

The third proportional to 378,794,175,279 and 824,271,383,190 is: 1,793,647,731,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,794,175,279 : 824,271,383,190 = 824,271,383,190 : x
  2. Step 2: Convert to fraction form
    378,794,175,279/824,271,383,190 = 824,271,383,190/x
  3. Step 3: Cross multiply
    378,794,175,279x = 824,271,383,190 × 824,271,383,190
  4. Step 4: Simplify right side
    378,794,175,279x = 679,423,313,145,955,751,034,880
  5. Step 5: Solve for x
    x = 679,423,313,145,955,751,034,880/378,794,175,279
  6. Step 6: Final answer
    x = 1,793,647,731,371.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.