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Finding the Third Proportional to 10,397,251 and 23,185,163

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Solution

The third proportional to 10,397,251 and 23,185,163 is: 51,701,337.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397,251 : 23,185,163 = 23,185,163 : x
  2. Step 2: Convert to fraction form
    10,397,251/23,185,163 = 23,185,163/x
  3. Step 3: Cross multiply
    10,397,251x = 23,185,163 × 23,185,163
  4. Step 4: Simplify right side
    10,397,251x = 537,551,783,336,569
  5. Step 5: Solve for x
    x = 537,551,783,336,569/10,397,251
  6. Step 6: Final answer
    x = 51,701,337.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.