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Finding the Third Proportional to 8,285,058 and 11,193,651

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Solution

The third proportional to 8,285,058 and 11,193,651 is: 15,123,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285,058 : 11,193,651 = 11,193,651 : x
  2. Step 2: Convert to fraction form
    8,285,058/11,193,651 = 11,193,651/x
  3. Step 3: Cross multiply
    8,285,058x = 11,193,651 × 11,193,651
  4. Step 4: Simplify right side
    8,285,058x = 125,297,822,709,801
  5. Step 5: Solve for x
    x = 125,297,822,709,801/8,285,058
  6. Step 6: Final answer
    x = 15,123,348.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.