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Finding the Third Proportional to 169,782,372 and 363,770,460

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Solution

The third proportional to 169,782,372 and 363,770,460 is: 779,403,338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,782,372 : 363,770,460 = 363,770,460 : x
  2. Step 2: Convert to fraction form
    169,782,372/363,770,460 = 363,770,460/x
  3. Step 3: Cross multiply
    169,782,372x = 363,770,460 × 363,770,460
  4. Step 4: Simplify right side
    169,782,372x = 132,328,947,568,611,600
  5. Step 5: Solve for x
    x = 132,328,947,568,611,600/169,782,372
  6. Step 6: Final answer
    x = 779,403,338.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.