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Finding the Third Proportional to 5,761,588.50 and 12,586,221

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Solution

The third proportional to 5,761,588.50 and 12,586,221 is: 27,494,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761,588.50 : 12,586,221 = 12,586,221 : x
  2. Step 2: Convert to fraction form
    5,761,588.50/12,586,221 = 12,586,221/x
  3. Step 3: Cross multiply
    5,761,588.50x = 12,586,221 × 12,586,221
  4. Step 4: Simplify right side
    5,761,588.50x = 158,412,959,060,841
  5. Step 5: Solve for x
    x = 158,412,959,060,841/5,761,588.50
  6. Step 6: Final answer
    x = 27,494,667.32

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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.