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Finding the Third Proportional to 598,902,830,181 and 1,331,711,786,241

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Solution

The third proportional to 598,902,830,181 and 1,331,711,786,241 is: 2,961,175,323,010.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,902,830,181 : 1,331,711,786,241 = 1,331,711,786,241 : x
  2. Step 2: Convert to fraction form
    598,902,830,181/1,331,711,786,241 = 1,331,711,786,241/x
  3. Step 3: Cross multiply
    598,902,830,181x = 1,331,711,786,241 × 1,331,711,786,241
  4. Step 4: Simplify right side
    598,902,830,181x = 1,773,456,281,613,194,860,953,600
  5. Step 5: Solve for x
    x = 1,773,456,281,613,194,860,953,600/598,902,830,181
  6. Step 6: Final answer
    x = 2,961,175,323,010.62

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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.