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Finding the Third Proportional to 4,169,016 and 9,136,080

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Solution

The third proportional to 4,169,016 and 9,136,080 is: 20,021,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169,016 : 9,136,080 = 9,136,080 : x
  2. Step 2: Convert to fraction form
    4,169,016/9,136,080 = 9,136,080/x
  3. Step 3: Cross multiply
    4,169,016x = 9,136,080 × 9,136,080
  4. Step 4: Simplify right side
    4,169,016x = 83,467,957,766,400
  5. Step 5: Solve for x
    x = 83,467,957,766,400/4,169,016
  6. Step 6: Final answer
    x = 20,021,021.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.