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Finding the Third Proportional to 10,212,686 and 22,127,426

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Solution

The third proportional to 10,212,686 and 22,127,426 is: 47,942,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212,686 : 22,127,426 = 22,127,426 : x
  2. Step 2: Convert to fraction form
    10,212,686/22,127,426 = 22,127,426/x
  3. Step 3: Cross multiply
    10,212,686x = 22,127,426 × 22,127,426
  4. Step 4: Simplify right side
    10,212,686x = 489,622,981,385,476
  5. Step 5: Solve for x
    x = 489,622,981,385,476/10,212,686
  6. Step 6: Final answer
    x = 47,942,625.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.