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Finding the Third Proportional to 8,198,216 and 12,252,146

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Solution

The third proportional to 8,198,216 and 12,252,146 is: 18,310,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198,216 : 12,252,146 = 12,252,146 : x
  2. Step 2: Convert to fraction form
    8,198,216/12,252,146 = 12,252,146/x
  3. Step 3: Cross multiply
    8,198,216x = 12,252,146 × 12,252,146
  4. Step 4: Simplify right side
    8,198,216x = 150,115,081,605,316
  5. Step 5: Solve for x
    x = 150,115,081,605,316/8,198,216
  6. Step 6: Final answer
    x = 18,310,700.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.