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Finding the Third Proportional to 24,987,649.50 and 37,747,215

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Solution

The third proportional to 24,987,649.50 and 37,747,215 is: 57,022,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,987,649.50 : 37,747,215 = 37,747,215 : x
  2. Step 2: Convert to fraction form
    24,987,649.50/37,747,215 = 37,747,215/x
  3. Step 3: Cross multiply
    24,987,649.50x = 37,747,215 × 37,747,215
  4. Step 4: Simplify right side
    24,987,649.50x = 1,424,852,240,256,225
  5. Step 5: Solve for x
    x = 1,424,852,240,256,225/24,987,649.50
  6. Step 6: Final answer
    x = 57,022,259.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.