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Finding the Third Proportional to 8,265,888 and 17,798,400

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Solution

The third proportional to 8,265,888 and 17,798,400 is: 38,324,139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265,888 : 17,798,400 = 17,798,400 : x
  2. Step 2: Convert to fraction form
    8,265,888/17,798,400 = 17,798,400/x
  3. Step 3: Cross multiply
    8,265,888x = 17,798,400 × 17,798,400
  4. Step 4: Simplify right side
    8,265,888x = 316,783,042,560,000
  5. Step 5: Solve for x
    x = 316,783,042,560,000/8,265,888
  6. Step 6: Final answer
    x = 38,324,139.23

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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.