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Finding the Third Proportional to 474,356,839,062 and 722,649,832,274

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Solution

The third proportional to 474,356,839,062 and 722,649,832,274 is: 1,100,907,032,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,356,839,062 : 722,649,832,274 = 722,649,832,274 : x
  2. Step 2: Convert to fraction form
    474,356,839,062/722,649,832,274 = 722,649,832,274/x
  3. Step 3: Cross multiply
    474,356,839,062x = 722,649,832,274 × 722,649,832,274
  4. Step 4: Simplify right side
    474,356,839,062x = 522,222,780,085,640,309,506,048
  5. Step 5: Solve for x
    x = 522,222,780,085,640,309,506,048/474,356,839,062
  6. Step 6: Final answer
    x = 1,100,907,032,600.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.