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Finding the Third Proportional to 2,902,432.50 and 6,777,675

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Solution

The third proportional to 2,902,432.50 and 6,777,675 is: 15,827,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902,432.50 : 6,777,675 = 6,777,675 : x
  2. Step 2: Convert to fraction form
    2,902,432.50/6,777,675 = 6,777,675/x
  3. Step 3: Cross multiply
    2,902,432.50x = 6,777,675 × 6,777,675
  4. Step 4: Simplify right side
    2,902,432.50x = 45,936,878,405,625
  5. Step 5: Solve for x
    x = 45,936,878,405,625/2,902,432.50
  6. Step 6: Final answer
    x = 15,827,027.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.