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Finding the Third Proportional to 12,194,148 and 17,527,272

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Solution

The third proportional to 12,194,148 and 17,527,272 is: 25,192,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194,148 : 17,527,272 = 17,527,272 : x
  2. Step 2: Convert to fraction form
    12,194,148/17,527,272 = 17,527,272/x
  3. Step 3: Cross multiply
    12,194,148x = 17,527,272 × 17,527,272
  4. Step 4: Simplify right side
    12,194,148x = 307,205,263,761,984
  5. Step 5: Solve for x
    x = 307,205,263,761,984/12,194,148
  6. Step 6: Final answer
    x = 25,192,843.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.