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Finding the Third Proportional to 5,761,584 and 12,586,212

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Solution

The third proportional to 5,761,584 and 12,586,212 is: 27,494,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761,584 : 12,586,212 = 12,586,212 : x
  2. Step 2: Convert to fraction form
    5,761,584/12,586,212 = 12,586,212/x
  3. Step 3: Cross multiply
    5,761,584x = 12,586,212 × 12,586,212
  4. Step 4: Simplify right side
    5,761,584x = 158,412,732,508,944
  5. Step 5: Solve for x
    x = 158,412,732,508,944/5,761,584
  6. Step 6: Final answer
    x = 27,494,649.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.