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Finding the Third Proportional to 5,761,588 and 12,586,220

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Solution

The third proportional to 5,761,588 and 12,586,220 is: 27,494,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761,588 : 12,586,220 = 12,586,220 : x
  2. Step 2: Convert to fraction form
    5,761,588/12,586,220 = 12,586,220/x
  3. Step 3: Cross multiply
    5,761,588x = 12,586,220 × 12,586,220
  4. Step 4: Simplify right side
    5,761,588x = 158,412,933,888,400
  5. Step 5: Solve for x
    x = 158,412,933,888,400/5,761,588
  6. Step 6: Final answer
    x = 27,494,665.34

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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.