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Finding the Third Proportional to 10,851,668 and 14,466,016

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Solution

The third proportional to 10,851,668 and 14,466,016 is: 19,284,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851,668 : 14,466,016 = 14,466,016 : x
  2. Step 2: Convert to fraction form
    10,851,668/14,466,016 = 14,466,016/x
  3. Step 3: Cross multiply
    10,851,668x = 14,466,016 × 14,466,016
  4. Step 4: Simplify right side
    10,851,668x = 209,265,618,912,256
  5. Step 5: Solve for x
    x = 209,265,618,912,256/10,851,668
  6. Step 6: Final answer
    x = 19,284,189.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.