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Finding the Third Proportional to 6,489,384 and 15,022,444

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Solution

The third proportional to 6,489,384 and 15,022,444 is: 34,775,846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489,384 : 15,022,444 = 15,022,444 : x
  2. Step 2: Convert to fraction form
    6,489,384/15,022,444 = 15,022,444/x
  3. Step 3: Cross multiply
    6,489,384x = 15,022,444 × 15,022,444
  4. Step 4: Simplify right side
    6,489,384x = 225,673,823,733,136
  5. Step 5: Solve for x
    x = 225,673,823,733,136/6,489,384
  6. Step 6: Final answer
    x = 34,775,846.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.