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Finding the Third Proportional to 170,514,486,902 and 366,890,644,392

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Solution

The third proportional to 170,514,486,902 and 366,890,644,392 is: 789,427,029,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,514,486,902 : 366,890,644,392 = 366,890,644,392 : x
  2. Step 2: Convert to fraction form
    170,514,486,902/366,890,644,392 = 366,890,644,392/x
  3. Step 3: Cross multiply
    170,514,486,902x = 366,890,644,392 × 366,890,644,392
  4. Step 4: Simplify right side
    170,514,486,902x = 134,608,744,942,377,008,889,856
  5. Step 5: Solve for x
    x = 134,608,744,942,377,008,889,856/170,514,486,902
  6. Step 6: Final answer
    x = 789,427,029,855.48

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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.