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Finding the Third Proportional to 598,902,830,158 and 1,331,711,786,204

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Solution

The third proportional to 598,902,830,158 and 1,331,711,786,204 is: 2,961,175,322,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,902,830,158 : 1,331,711,786,204 = 1,331,711,786,204 : x
  2. Step 2: Convert to fraction form
    598,902,830,158/1,331,711,786,204 = 1,331,711,786,204/x
  3. Step 3: Cross multiply
    598,902,830,158x = 1,331,711,786,204 × 1,331,711,786,204
  4. Step 4: Simplify right side
    598,902,830,158x = 1,773,456,281,514,648,178,524,160
  5. Step 5: Solve for x
    x = 1,773,456,281,514,648,178,524,160/598,902,830,158
  6. Step 6: Final answer
    x = 2,961,175,322,959.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.