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Finding the Third Proportional to 474,356,839,152 and 722,649,832,404

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Solution

The third proportional to 474,356,839,152 and 722,649,832,404 is: 1,100,907,032,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,356,839,152 : 722,649,832,404 = 722,649,832,404 : x
  2. Step 2: Convert to fraction form
    474,356,839,152/722,649,832,404 = 722,649,832,404/x
  3. Step 3: Cross multiply
    474,356,839,152x = 722,649,832,404 × 722,649,832,404
  4. Step 4: Simplify right side
    474,356,839,152x = 522,222,780,273,529,291,014,144
  5. Step 5: Solve for x
    x = 522,222,780,273,529,291,014,144/474,356,839,152
  6. Step 6: Final answer
    x = 1,100,907,032,788.01

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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.