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Finding the Third Proportional to 598,902,830,160 and 1,331,711,786,208

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Solution

The third proportional to 598,902,830,160 and 1,331,711,786,208 is: 2,961,175,322,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,902,830,160 : 1,331,711,786,208 = 1,331,711,786,208 : x
  2. Step 2: Convert to fraction form
    598,902,830,160/1,331,711,786,208 = 1,331,711,786,208/x
  3. Step 3: Cross multiply
    598,902,830,160x = 1,331,711,786,208 × 1,331,711,786,208
  4. Step 4: Simplify right side
    598,902,830,160x = 1,773,456,281,525,301,844,901,888
  5. Step 5: Solve for x
    x = 1,773,456,281,525,301,844,901,888/598,902,830,160
  6. Step 6: Final answer
    x = 2,961,175,322,967.69

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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.