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Finding the Third Proportional to 8,251,766 and 12,393,237

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Solution

The third proportional to 8,251,766 and 12,393,237 is: 18,613,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251,766 : 12,393,237 = 12,393,237 : x
  2. Step 2: Convert to fraction form
    8,251,766/12,393,237 = 12,393,237/x
  3. Step 3: Cross multiply
    8,251,766x = 12,393,237 × 12,393,237
  4. Step 4: Simplify right side
    8,251,766x = 153,592,323,338,169
  5. Step 5: Solve for x
    x = 153,592,323,338,169/8,251,766
  6. Step 6: Final answer
    x = 18,613,266.95

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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.