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Finding the Third Proportional to 17,653,322 and 38,093,424

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Solution

The third proportional to 17,653,322 and 38,093,424 is: 82,200,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653,322 : 38,093,424 = 38,093,424 : x
  2. Step 2: Convert to fraction form
    17,653,322/38,093,424 = 38,093,424/x
  3. Step 3: Cross multiply
    17,653,322x = 38,093,424 × 38,093,424
  4. Step 4: Simplify right side
    17,653,322x = 1,451,108,952,043,776
  5. Step 5: Solve for x
    x = 1,451,108,952,043,776/17,653,322
  6. Step 6: Final answer
    x = 82,200,333.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.