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Finding the Third Proportional to 363,412,901 and 792,600,961

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Solution

The third proportional to 363,412,901 and 792,600,961 is: 1,728,657,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,412,901 : 792,600,961 = 792,600,961 : x
  2. Step 2: Convert to fraction form
    363,412,901/792,600,961 = 792,600,961/x
  3. Step 3: Cross multiply
    363,412,901x = 792,600,961 × 792,600,961
  4. Step 4: Simplify right side
    363,412,901x = 628,216,283,378,123,520
  5. Step 5: Solve for x
    x = 628,216,283,378,123,520/363,412,901
  6. Step 6: Final answer
    x = 1,728,657,077.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.