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Finding the Third Proportional to 474,356,839,066 and 722,649,832,280

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Solution

The third proportional to 474,356,839,066 and 722,649,832,280 is: 1,100,907,032,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,356,839,066 : 722,649,832,280 = 722,649,832,280 : x
  2. Step 2: Convert to fraction form
    474,356,839,066/722,649,832,280 = 722,649,832,280/x
  3. Step 3: Cross multiply
    474,356,839,066x = 722,649,832,280 × 722,649,832,280
  4. Step 4: Simplify right side
    474,356,839,066x = 522,222,780,094,312,116,912,128
  5. Step 5: Solve for x
    x = 522,222,780,094,312,116,912,128/474,356,839,066
  6. Step 6: Final answer
    x = 1,100,907,032,609.80

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