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Finding the Third Proportional to 6,508,860 and 13,997,280

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Solution

The third proportional to 6,508,860 and 13,997,280 is: 30,101,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508,860 : 13,997,280 = 13,997,280 : x
  2. Step 2: Convert to fraction form
    6,508,860/13,997,280 = 13,997,280/x
  3. Step 3: Cross multiply
    6,508,860x = 13,997,280 × 13,997,280
  4. Step 4: Simplify right side
    6,508,860x = 195,923,847,398,400
  5. Step 5: Solve for x
    x = 195,923,847,398,400/6,508,860
  6. Step 6: Final answer
    x = 30,101,100.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.