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Finding the Third Proportional to 7,829,372 and 17,198,384

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Solution

The third proportional to 7,829,372 and 17,198,384 is: 37,778,817.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829,372 : 17,198,384 = 17,198,384 : x
  2. Step 2: Convert to fraction form
    7,829,372/17,198,384 = 17,198,384/x
  3. Step 3: Cross multiply
    7,829,372x = 17,198,384 × 17,198,384
  4. Step 4: Simplify right side
    7,829,372x = 295,784,412,211,456
  5. Step 5: Solve for x
    x = 295,784,412,211,456/7,829,372
  6. Step 6: Final answer
    x = 37,778,817.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.