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Finding the Third Proportional to 5,467,786 and 12,775,214

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Solution

The third proportional to 5,467,786 and 12,775,214 is: 29,848,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467,786 : 12,775,214 = 12,775,214 : x
  2. Step 2: Convert to fraction form
    5,467,786/12,775,214 = 12,775,214/x
  3. Step 3: Cross multiply
    5,467,786x = 12,775,214 × 12,775,214
  4. Step 4: Simplify right side
    5,467,786x = 163,206,092,745,796
  5. Step 5: Solve for x
    x = 163,206,092,745,796/5,467,786
  6. Step 6: Final answer
    x = 29,848,661.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.