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Finding the Third Proportional to 474,356,839,064 and 722,649,832,277

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Solution

The third proportional to 474,356,839,064 and 722,649,832,277 is: 1,100,907,032,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,356,839,064 : 722,649,832,277 = 722,649,832,277 : x
  2. Step 2: Convert to fraction form
    474,356,839,064/722,649,832,277 = 722,649,832,277/x
  3. Step 3: Cross multiply
    474,356,839,064x = 722,649,832,277 × 722,649,832,277
  4. Step 4: Simplify right side
    474,356,839,064x = 522,222,780,089,976,213,209,088
  5. Step 5: Solve for x
    x = 522,222,780,089,976,213,209,088/474,356,839,064
  6. Step 6: Final answer
    x = 1,100,907,032,605.30

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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.