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Finding the Third Proportional to 8,290,541 and 17,840,794

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Solution

The third proportional to 8,290,541 and 17,840,794 is: 38,392,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290,541 : 17,840,794 = 17,840,794 : x
  2. Step 2: Convert to fraction form
    8,290,541/17,840,794 = 17,840,794/x
  3. Step 3: Cross multiply
    8,290,541x = 17,840,794 × 17,840,794
  4. Step 4: Simplify right side
    8,290,541x = 318,293,930,550,436
  5. Step 5: Solve for x
    x = 318,293,930,550,436/8,290,541
  6. Step 6: Final answer
    x = 38,392,419.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.