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Finding the Third Proportional to 382,694,172,287 and 819,974,442,134

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Solution

The third proportional to 382,694,172,287 and 819,974,442,134 is: 1,756,907,040,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,694,172,287 : 819,974,442,134 = 819,974,442,134 : x
  2. Step 2: Convert to fraction form
    382,694,172,287/819,974,442,134 = 819,974,442,134/x
  3. Step 3: Cross multiply
    382,694,172,287x = 819,974,442,134 × 819,974,442,134
  4. Step 4: Simplify right side
    382,694,172,287x = 672,358,085,752,964,545,249,280
  5. Step 5: Solve for x
    x = 672,358,085,752,964,545,249,280/382,694,172,287
  6. Step 6: Final answer
    x = 1,756,907,040,770.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.