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Finding the Third Proportional to 6,408,342 and 9,613,782

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Solution

The third proportional to 6,408,342 and 9,613,782 is: 14,422,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408,342 : 9,613,782 = 9,613,782 : x
  2. Step 2: Convert to fraction form
    6,408,342/9,613,782 = 9,613,782/x
  3. Step 3: Cross multiply
    6,408,342x = 9,613,782 × 9,613,782
  4. Step 4: Simplify right side
    6,408,342x = 92,424,804,343,524
  5. Step 5: Solve for x
    x = 92,424,804,343,524/6,408,342
  6. Step 6: Final answer
    x = 14,422,576.75

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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.