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Finding the Third Proportional to 7,829,344 and 17,198,336

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Solution

The third proportional to 7,829,344 and 17,198,336 is: 37,778,741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829,344 : 17,198,336 = 17,198,336 : x
  2. Step 2: Convert to fraction form
    7,829,344/17,198,336 = 17,198,336/x
  3. Step 3: Cross multiply
    7,829,344x = 17,198,336 × 17,198,336
  4. Step 4: Simplify right side
    7,829,344x = 295,782,761,168,896
  5. Step 5: Solve for x
    x = 295,782,761,168,896/7,829,344
  6. Step 6: Final answer
    x = 37,778,741.25

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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.