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Finding the Third Proportional to 12,582,299 and 27,221,107

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Solution

The third proportional to 12,582,299 and 27,221,107 is: 58,891,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582,299 : 27,221,107 = 27,221,107 : x
  2. Step 2: Convert to fraction form
    12,582,299/27,221,107 = 27,221,107/x
  3. Step 3: Cross multiply
    12,582,299x = 27,221,107 × 27,221,107
  4. Step 4: Simplify right side
    12,582,299x = 740,988,666,305,449
  5. Step 5: Solve for x
    x = 740,988,666,305,449/12,582,299
  6. Step 6: Final answer
    x = 58,891,357.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.