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Finding the Third Proportional to 6,280,734 and 13,604,847

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Solution

The third proportional to 6,280,734 and 13,604,847 is: 29,469,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280,734 : 13,604,847 = 13,604,847 : x
  2. Step 2: Convert to fraction form
    6,280,734/13,604,847 = 13,604,847/x
  3. Step 3: Cross multiply
    6,280,734x = 13,604,847 × 13,604,847
  4. Step 4: Simplify right side
    6,280,734x = 185,091,861,893,409
  5. Step 5: Solve for x
    x = 185,091,861,893,409/6,280,734
  6. Step 6: Final answer
    x = 29,469,782.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.