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Finding the Third Proportional to 5,929,212 and 12,929,016

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Solution

The third proportional to 5,929,212 and 12,929,016 is: 28,192,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929,212 : 12,929,016 = 12,929,016 : x
  2. Step 2: Convert to fraction form
    5,929,212/12,929,016 = 12,929,016/x
  3. Step 3: Cross multiply
    5,929,212x = 12,929,016 × 12,929,016
  4. Step 4: Simplify right side
    5,929,212x = 167,159,454,728,256
  5. Step 5: Solve for x
    x = 167,159,454,728,256/5,929,212
  6. Step 6: Final answer
    x = 28,192,524.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.