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Finding the Third Proportional to 474,356,839,070 and 722,649,832,286

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Solution

The third proportional to 474,356,839,070 and 722,649,832,286 is: 1,100,907,032,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,356,839,070 : 722,649,832,286 = 722,649,832,286 : x
  2. Step 2: Convert to fraction form
    474,356,839,070/722,649,832,286 = 722,649,832,286/x
  3. Step 3: Cross multiply
    474,356,839,070x = 722,649,832,286 × 722,649,832,286
  4. Step 4: Simplify right side
    474,356,839,070x = 522,222,780,102,983,924,318,208
  5. Step 5: Solve for x
    x = 522,222,780,102,983,924,318,208/474,356,839,070
  6. Step 6: Final answer
    x = 1,100,907,032,618.79

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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.