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Finding the Third Proportional to 365,868,608,832 and 792,519,161,472

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Solution

The third proportional to 365,868,608,832 and 792,519,161,472 is: 1,716,699,946,752.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,868,608,832 : 792,519,161,472 = 792,519,161,472 : x
  2. Step 2: Convert to fraction form
    365,868,608,832/792,519,161,472 = 792,519,161,472/x
  3. Step 3: Cross multiply
    365,868,608,832x = 792,519,161,472 × 792,519,161,472
  4. Step 4: Simplify right side
    365,868,608,832x = 628,086,621,300,282,074,595,328
  5. Step 5: Solve for x
    x = 628,086,621,300,282,074,595,328/365,868,608,832
  6. Step 6: Final answer
    x = 1,716,699,946,752.44

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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.