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Finding the Third Proportional to 8,122,432 and 12,185,268

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Solution

The third proportional to 8,122,432 and 12,185,268 is: 18,280,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122,432 : 12,185,268 = 12,185,268 : x
  2. Step 2: Convert to fraction form
    8,122,432/12,185,268 = 12,185,268/x
  3. Step 3: Cross multiply
    8,122,432x = 12,185,268 × 12,185,268
  4. Step 4: Simplify right side
    8,122,432x = 148,480,756,231,824
  5. Step 5: Solve for x
    x = 148,480,756,231,824/8,122,432
  6. Step 6: Final answer
    x = 18,280,332.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.