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Finding the Third Proportional to 8,198,522 and 11,678,970

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Solution

The third proportional to 8,198,522 and 11,678,970 is: 16,636,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198,522 : 11,678,970 = 11,678,970 : x
  2. Step 2: Convert to fraction form
    8,198,522/11,678,970 = 11,678,970/x
  3. Step 3: Cross multiply
    8,198,522x = 11,678,970 × 11,678,970
  4. Step 4: Simplify right side
    8,198,522x = 136,398,340,260,900
  5. Step 5: Solve for x
    x = 136,398,340,260,900/8,198,522
  6. Step 6: Final answer
    x = 16,636,942.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.