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Finding the Third Proportional to 23,649,969 and 50,835,225

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Solution

The third proportional to 23,649,969 and 50,835,225 is: 109,269,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649,969 : 50,835,225 = 50,835,225 : x
  2. Step 2: Convert to fraction form
    23,649,969/50,835,225 = 50,835,225/x
  3. Step 3: Cross multiply
    23,649,969x = 50,835,225 × 50,835,225
  4. Step 4: Simplify right side
    23,649,969x = 2,584,220,100,800,625
  5. Step 5: Solve for x
    x = 2,584,220,100,800,625/23,649,969
  6. Step 6: Final answer
    x = 109,269,492.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.