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Finding the Third Proportional to 3,056,968 and 6,478,064

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Solution

The third proportional to 3,056,968 and 6,478,064 is: 13,727,756.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056,968 : 6,478,064 = 6,478,064 : x
  2. Step 2: Convert to fraction form
    3,056,968/6,478,064 = 6,478,064/x
  3. Step 3: Cross multiply
    3,056,968x = 6,478,064 × 6,478,064
  4. Step 4: Simplify right side
    3,056,968x = 41,965,313,188,096
  5. Step 5: Solve for x
    x = 41,965,313,188,096/3,056,968
  6. Step 6: Final answer
    x = 13,727,756.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.