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Finding the Third Proportional to 23,632,974 and 51,299,343

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Solution

The third proportional to 23,632,974 and 51,299,343 is: 111,353,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632,974 : 51,299,343 = 51,299,343 : x
  2. Step 2: Convert to fraction form
    23,632,974/51,299,343 = 51,299,343/x
  3. Step 3: Cross multiply
    23,632,974x = 51,299,343 × 51,299,343
  4. Step 4: Simplify right side
    23,632,974x = 2,631,622,592,231,649
  5. Step 5: Solve for x
    x = 2,631,622,592,231,649/23,632,974
  6. Step 6: Final answer
    x = 111,353,847.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.