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Finding the Third Proportional to 170,514,486,894 and 366,890,644,378

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Solution

The third proportional to 170,514,486,894 and 366,890,644,378 is: 789,427,029,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,514,486,894 : 366,890,644,378 = 366,890,644,378 : x
  2. Step 2: Convert to fraction form
    170,514,486,894/366,890,644,378 = 366,890,644,378/x
  3. Step 3: Cross multiply
    170,514,486,894x = 366,890,644,378 × 366,890,644,378
  4. Step 4: Simplify right side
    170,514,486,894x = 134,608,744,932,104,067,874,816
  5. Step 5: Solve for x
    x = 134,608,744,932,104,067,874,816/170,514,486,894
  6. Step 6: Final answer
    x = 789,427,029,832.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.