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Finding the Third Proportional to 6,385,413 and 9,568,778

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Solution

The third proportional to 6,385,413 and 9,568,778 is: 14,339,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385,413 : 9,568,778 = 9,568,778 : x
  2. Step 2: Convert to fraction form
    6,385,413/9,568,778 = 9,568,778/x
  3. Step 3: Cross multiply
    6,385,413x = 9,568,778 × 9,568,778
  4. Step 4: Simplify right side
    6,385,413x = 91,561,512,413,284
  5. Step 5: Solve for x
    x = 91,561,512,413,284/6,385,413
  6. Step 6: Final answer
    x = 14,339,168.42

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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.