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Finding the Third Proportional to 654,802,144 and 1,395,324,072

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Solution

The third proportional to 654,802,144 and 1,395,324,072 is: 2,973,309,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,802,144 : 1,395,324,072 = 1,395,324,072 : x
  2. Step 2: Convert to fraction form
    654,802,144/1,395,324,072 = 1,395,324,072/x
  3. Step 3: Cross multiply
    654,802,144x = 1,395,324,072 × 1,395,324,072
  4. Step 4: Simplify right side
    654,802,144x = 1,946,929,265,902,661,120
  5. Step 5: Solve for x
    x = 1,946,929,265,902,661,120/654,802,144
  6. Step 6: Final answer
    x = 2,973,309,241.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.