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Finding the Third Proportional to 8,682,880 and 12,764,188

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Solution

The third proportional to 8,682,880 and 12,764,188 is: 18,763,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682,880 : 12,764,188 = 12,764,188 : x
  2. Step 2: Convert to fraction form
    8,682,880/12,764,188 = 12,764,188/x
  3. Step 3: Cross multiply
    8,682,880x = 12,764,188 × 12,764,188
  4. Step 4: Simplify right side
    8,682,880x = 162,924,495,299,344
  5. Step 5: Solve for x
    x = 162,924,495,299,344/8,682,880
  6. Step 6: Final answer
    x = 18,763,877.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.