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Finding the Third Proportional to 6,862,684 and 9,149,170

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Solution

The third proportional to 6,862,684 and 9,149,170 is: 12,197,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862,684 : 9,149,170 = 9,149,170 : x
  2. Step 2: Convert to fraction form
    6,862,684/9,149,170 = 9,149,170/x
  3. Step 3: Cross multiply
    6,862,684x = 9,149,170 × 9,149,170
  4. Step 4: Simplify right side
    6,862,684x = 83,707,311,688,900
  5. Step 5: Solve for x
    x = 83,707,311,688,900/6,862,684
  6. Step 6: Final answer
    x = 12,197,459.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.