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Finding the Third Proportional to 8,683,023 and 12,764,385

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Solution

The third proportional to 8,683,023 and 12,764,385 is: 18,764,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683,023 : 12,764,385 = 12,764,385 : x
  2. Step 2: Convert to fraction form
    8,683,023/12,764,385 = 12,764,385/x
  3. Step 3: Cross multiply
    8,683,023x = 12,764,385 × 12,764,385
  4. Step 4: Simplify right side
    8,683,023x = 162,929,524,428,225
  5. Step 5: Solve for x
    x = 162,929,524,428,225/8,683,023
  6. Step 6: Final answer
    x = 18,764,147.51

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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.