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Finding the Third Proportional to 7,650,668 and 16,164,874

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Solution

The third proportional to 7,650,668 and 16,164,874 is: 34,154,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650,668 : 16,164,874 = 16,164,874 : x
  2. Step 2: Convert to fraction form
    7,650,668/16,164,874 = 16,164,874/x
  3. Step 3: Cross multiply
    7,650,668x = 16,164,874 × 16,164,874
  4. Step 4: Simplify right side
    7,650,668x = 261,303,151,435,876
  5. Step 5: Solve for x
    x = 261,303,151,435,876/7,650,668
  6. Step 6: Final answer
    x = 34,154,292.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.