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Finding the Third Proportional to 6,337,014 and 9,535,869

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Solution

The third proportional to 6,337,014 and 9,535,869 is: 14,349,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337,014 : 9,535,869 = 9,535,869 : x
  2. Step 2: Convert to fraction form
    6,337,014/9,535,869 = 9,535,869/x
  3. Step 3: Cross multiply
    6,337,014x = 9,535,869 × 9,535,869
  4. Step 4: Simplify right side
    6,337,014x = 90,932,797,585,161
  5. Step 5: Solve for x
    x = 90,932,797,585,161/6,337,014
  6. Step 6: Final answer
    x = 14,349,470.84

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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.