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Finding the Third Proportional to 5,435,154 and 11,846,872

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Solution

The third proportional to 5,435,154 and 11,846,872 is: 25,822,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435,154 : 11,846,872 = 11,846,872 : x
  2. Step 2: Convert to fraction form
    5,435,154/11,846,872 = 11,846,872/x
  3. Step 3: Cross multiply
    5,435,154x = 11,846,872 × 11,846,872
  4. Step 4: Simplify right side
    5,435,154x = 140,348,376,184,384
  5. Step 5: Solve for x
    x = 140,348,376,184,384/5,435,154
  6. Step 6: Final answer
    x = 25,822,336.62

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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.