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Finding the Third Proportional to 8,309,838 and 12,519,433

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Solution

The third proportional to 8,309,838 and 12,519,433 is: 18,861,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309,838 : 12,519,433 = 12,519,433 : x
  2. Step 2: Convert to fraction form
    8,309,838/12,519,433 = 12,519,433/x
  3. Step 3: Cross multiply
    8,309,838x = 12,519,433 × 12,519,433
  4. Step 4: Simplify right side
    8,309,838x = 156,736,202,641,489
  5. Step 5: Solve for x
    x = 156,736,202,641,489/8,309,838
  6. Step 6: Final answer
    x = 18,861,523.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.