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Finding the Third Proportional to 8,195,698 and 12,027,824

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Solution

The third proportional to 8,195,698 and 12,027,824 is: 17,651,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195,698 : 12,027,824 = 12,027,824 : x
  2. Step 2: Convert to fraction form
    8,195,698/12,027,824 = 12,027,824/x
  3. Step 3: Cross multiply
    8,195,698x = 12,027,824 × 12,027,824
  4. Step 4: Simplify right side
    8,195,698x = 144,668,550,174,976
  5. Step 5: Solve for x
    x = 144,668,550,174,976/8,195,698
  6. Step 6: Final answer
    x = 17,651,766.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.