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Finding the Third Proportional to 5,609,221 and 12,056,376

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Solution

The third proportional to 5,609,221 and 12,056,376 is: 25,913,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609,221 : 12,056,376 = 12,056,376 : x
  2. Step 2: Convert to fraction form
    5,609,221/12,056,376 = 12,056,376/x
  3. Step 3: Cross multiply
    5,609,221x = 12,056,376 × 12,056,376
  4. Step 4: Simplify right side
    5,609,221x = 145,356,202,253,376
  5. Step 5: Solve for x
    x = 145,356,202,253,376/5,609,221
  6. Step 6: Final answer
    x = 25,913,794.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.