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Finding the Third Proportional to 378,794,175,276 and 824,271,383,184

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Solution

The third proportional to 378,794,175,276 and 824,271,383,184 is: 1,793,647,731,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,794,175,276 : 824,271,383,184 = 824,271,383,184 : x
  2. Step 2: Convert to fraction form
    378,794,175,276/824,271,383,184 = 824,271,383,184/x
  3. Step 3: Cross multiply
    378,794,175,276x = 824,271,383,184 × 824,271,383,184
  4. Step 4: Simplify right side
    378,794,175,276x = 679,423,313,136,064,575,569,920
  5. Step 5: Solve for x
    x = 679,423,313,136,064,575,569,920/378,794,175,276
  6. Step 6: Final answer
    x = 1,793,647,731,359.70

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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.