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Finding the Third Proportional to 2,617,170 and 5,635,232

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Solution

The third proportional to 2,617,170 and 5,635,232 is: 12,133,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617,170 : 5,635,232 = 5,635,232 : x
  2. Step 2: Convert to fraction form
    2,617,170/5,635,232 = 5,635,232/x
  3. Step 3: Cross multiply
    2,617,170x = 5,635,232 × 5,635,232
  4. Step 4: Simplify right side
    2,617,170x = 31,755,839,693,824
  5. Step 5: Solve for x
    x = 31,755,839,693,824/2,617,170
  6. Step 6: Final answer
    x = 12,133,655.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.