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Finding the Third Proportional to 6,487,344 and 14,269,662

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Solution

The third proportional to 6,487,344 and 14,269,662 is: 31,387,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487,344 : 14,269,662 = 14,269,662 : x
  2. Step 2: Convert to fraction form
    6,487,344/14,269,662 = 14,269,662/x
  3. Step 3: Cross multiply
    6,487,344x = 14,269,662 × 14,269,662
  4. Step 4: Simplify right side
    6,487,344x = 203,623,253,594,244
  5. Step 5: Solve for x
    x = 203,623,253,594,244/6,487,344
  6. Step 6: Final answer
    x = 31,387,768.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.