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Finding the Third Proportional to 9,668,174 and 13,981,861

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Solution

The third proportional to 9,668,174 and 13,981,861 is: 20,220,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668,174 : 13,981,861 = 13,981,861 : x
  2. Step 2: Convert to fraction form
    9,668,174/13,981,861 = 13,981,861/x
  3. Step 3: Cross multiply
    9,668,174x = 13,981,861 × 13,981,861
  4. Step 4: Simplify right side
    9,668,174x = 195,492,437,023,321
  5. Step 5: Solve for x
    x = 195,492,437,023,321/9,668,174
  6. Step 6: Final answer
    x = 20,220,202.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.