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Finding the Third Proportional to 9,433,856 and 22,176,512

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Solution

The third proportional to 9,433,856 and 22,176,512 is: 52,131,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433,856 : 22,176,512 = 22,176,512 : x
  2. Step 2: Convert to fraction form
    9,433,856/22,176,512 = 22,176,512/x
  3. Step 3: Cross multiply
    9,433,856x = 22,176,512 × 22,176,512
  4. Step 4: Simplify right side
    9,433,856x = 491,797,684,486,144
  5. Step 5: Solve for x
    x = 491,797,684,486,144/9,433,856
  6. Step 6: Final answer
    x = 52,131,141.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.