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Finding the Third Proportional to 382,694,172,285 and 819,974,442,130

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Solution

The third proportional to 382,694,172,285 and 819,974,442,130 is: 1,756,907,040,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,694,172,285 : 819,974,442,130 = 819,974,442,130 : x
  2. Step 2: Convert to fraction form
    382,694,172,285/819,974,442,130 = 819,974,442,130/x
  3. Step 3: Cross multiply
    382,694,172,285x = 819,974,442,130 × 819,974,442,130
  4. Step 4: Simplify right side
    382,694,172,285x = 672,358,085,746,404,653,793,280
  5. Step 5: Solve for x
    x = 672,358,085,746,404,653,793,280/382,694,172,285
  6. Step 6: Final answer
    x = 1,756,907,040,762.79

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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.