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Finding the Third Proportional to 9,242,520 and 13,521,512

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Solution

The third proportional to 9,242,520 and 13,521,512 is: 19,781,540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242,520 : 13,521,512 = 13,521,512 : x
  2. Step 2: Convert to fraction form
    9,242,520/13,521,512 = 13,521,512/x
  3. Step 3: Cross multiply
    9,242,520x = 13,521,512 × 13,521,512
  4. Step 4: Simplify right side
    9,242,520x = 182,831,286,766,144
  5. Step 5: Solve for x
    x = 182,831,286,766,144/9,242,520
  6. Step 6: Final answer
    x = 19,781,540.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.