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Finding the Third Proportional to 8,585,160 and 18,193,836

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Solution

The third proportional to 8,585,160 and 18,193,836 is: 38,556,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585,160 : 18,193,836 = 18,193,836 : x
  2. Step 2: Convert to fraction form
    8,585,160/18,193,836 = 18,193,836/x
  3. Step 3: Cross multiply
    8,585,160x = 18,193,836 × 18,193,836
  4. Step 4: Simplify right side
    8,585,160x = 331,015,668,394,896
  5. Step 5: Solve for x
    x = 331,015,668,394,896/8,585,160
  6. Step 6: Final answer
    x = 38,556,726.77

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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.