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Finding the Third Proportional to 6,811,478 and 10,245,909

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Solution

The third proportional to 6,811,478 and 10,245,909 is: 15,412,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811,478 : 10,245,909 = 10,245,909 : x
  2. Step 2: Convert to fraction form
    6,811,478/10,245,909 = 10,245,909/x
  3. Step 3: Cross multiply
    6,811,478x = 10,245,909 × 10,245,909
  4. Step 4: Simplify right side
    6,811,478x = 104,978,651,236,281
  5. Step 5: Solve for x
    x = 104,978,651,236,281/6,811,478
  6. Step 6: Final answer
    x = 15,412,022.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.