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Finding the Third Proportional to 8,260,540 and 17,893,723

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Solution

The third proportional to 8,260,540 and 17,893,723 is: 38,760,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260,540 : 17,893,723 = 17,893,723 : x
  2. Step 2: Convert to fraction form
    8,260,540/17,893,723 = 17,893,723/x
  3. Step 3: Cross multiply
    8,260,540x = 17,893,723 × 17,893,723
  4. Step 4: Simplify right side
    8,260,540x = 320,185,322,800,729
  5. Step 5: Solve for x
    x = 320,185,322,800,729/8,260,540
  6. Step 6: Final answer
    x = 38,760,822.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.