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Finding the Third Proportional to 8,272,220 and 17,498,296

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Solution

The third proportional to 8,272,220 and 17,498,296 is: 37,014,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272,220 : 17,498,296 = 17,498,296 : x
  2. Step 2: Convert to fraction form
    8,272,220/17,498,296 = 17,498,296/x
  3. Step 3: Cross multiply
    8,272,220x = 17,498,296 × 17,498,296
  4. Step 4: Simplify right side
    8,272,220x = 306,190,362,903,616
  5. Step 5: Solve for x
    x = 306,190,362,903,616/8,272,220
  6. Step 6: Final answer
    x = 37,014,291.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.