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Finding the Third Proportional to 5,241,827 and 11,212,312

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Solution

The third proportional to 5,241,827 and 11,212,312 is: 23,983,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241,827 : 11,212,312 = 11,212,312 : x
  2. Step 2: Convert to fraction form
    5,241,827/11,212,312 = 11,212,312/x
  3. Step 3: Cross multiply
    5,241,827x = 11,212,312 × 11,212,312
  4. Step 4: Simplify right side
    5,241,827x = 125,715,940,385,344
  5. Step 5: Solve for x
    x = 125,715,940,385,344/5,241,827
  6. Step 6: Final answer
    x = 23,983,229.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.