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Finding the Third Proportional to 20,299,798 and 27,649,569

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Solution

The third proportional to 20,299,798 and 27,649,569 is: 37,660,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299,798 : 27,649,569 = 27,649,569 : x
  2. Step 2: Convert to fraction form
    20,299,798/27,649,569 = 27,649,569/x
  3. Step 3: Cross multiply
    20,299,798x = 27,649,569 × 27,649,569
  4. Step 4: Simplify right side
    20,299,798x = 764,498,665,885,761
  5. Step 5: Solve for x
    x = 764,498,665,885,761/20,299,798
  6. Step 6: Final answer
    x = 37,660,407.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.