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Finding the Third Proportional to 6,439,613 and 8,714,635

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Solution

The third proportional to 6,439,613 and 8,714,635 is: 11,793,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439,613 : 8,714,635 = 8,714,635 : x
  2. Step 2: Convert to fraction form
    6,439,613/8,714,635 = 8,714,635/x
  3. Step 3: Cross multiply
    6,439,613x = 8,714,635 × 8,714,635
  4. Step 4: Simplify right side
    6,439,613x = 75,944,863,183,225
  5. Step 5: Solve for x
    x = 75,944,863,183,225/6,439,613
  6. Step 6: Final answer
    x = 11,793,389.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.