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Finding the Third Proportional to 10,115,936 and 22,120,288

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Solution

The third proportional to 10,115,936 and 22,120,288 is: 48,369,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115,936 : 22,120,288 = 22,120,288 : x
  2. Step 2: Convert to fraction form
    10,115,936/22,120,288 = 22,120,288/x
  3. Step 3: Cross multiply
    10,115,936x = 22,120,288 × 22,120,288
  4. Step 4: Simplify right side
    10,115,936x = 489,307,141,202,944
  5. Step 5: Solve for x
    x = 489,307,141,202,944/10,115,936
  6. Step 6: Final answer
    x = 48,369,932.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.