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Finding the Third Proportional to 6,385,416 and 9,568,782

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Solution

The third proportional to 6,385,416 and 9,568,782 is: 14,339,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385,416 : 9,568,782 = 9,568,782 : x
  2. Step 2: Convert to fraction form
    6,385,416/9,568,782 = 9,568,782/x
  3. Step 3: Cross multiply
    6,385,416x = 9,568,782 × 9,568,782
  4. Step 4: Simplify right side
    6,385,416x = 91,561,588,963,524
  5. Step 5: Solve for x
    x = 91,561,588,963,524/6,385,416
  6. Step 6: Final answer
    x = 14,339,173.67

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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.