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Finding the Third Proportional to 365,831,907,811 and 792,453,757,369

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Solution

The third proportional to 365,831,907,811 and 792,453,757,369 is: 1,716,588,805,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,831,907,811 : 792,453,757,369 = 792,453,757,369 : x
  2. Step 2: Convert to fraction form
    365,831,907,811/792,453,757,369 = 792,453,757,369/x
  3. Step 3: Cross multiply
    365,831,907,811x = 792,453,757,369 × 792,453,757,369
  4. Step 4: Simplify right side
    365,831,907,811x = 627,982,957,568,245,958,180,864
  5. Step 5: Solve for x
    x = 627,982,957,568,245,958,180,864/365,831,907,811
  6. Step 6: Final answer
    x = 1,716,588,805,295.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.