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Finding the Third Proportional to 598,902,830,178 and 1,331,711,786,235

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Solution

The third proportional to 598,902,830,178 and 1,331,711,786,235 is: 2,961,175,322,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,902,830,178 : 1,331,711,786,235 = 1,331,711,786,235 : x
  2. Step 2: Convert to fraction form
    598,902,830,178/1,331,711,786,235 = 1,331,711,786,235/x
  3. Step 3: Cross multiply
    598,902,830,178x = 1,331,711,786,235 × 1,331,711,786,235
  4. Step 4: Simplify right side
    598,902,830,178x = 1,773,456,281,597,214,361,387,008
  5. Step 5: Solve for x
    x = 1,773,456,281,597,214,361,387,008/598,902,830,178
  6. Step 6: Final answer
    x = 2,961,175,322,998.77

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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.