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Finding the Third Proportional to 8,524,197 and 12,999,042

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Solution

The third proportional to 8,524,197 and 12,999,042 is: 19,822,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524,197 : 12,999,042 = 12,999,042 : x
  2. Step 2: Convert to fraction form
    8,524,197/12,999,042 = 12,999,042/x
  3. Step 3: Cross multiply
    8,524,197x = 12,999,042 × 12,999,042
  4. Step 4: Simplify right side
    8,524,197x = 168,975,092,917,764
  5. Step 5: Solve for x
    x = 168,975,092,917,764/8,524,197
  6. Step 6: Final answer
    x = 19,822,992.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.