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Finding the Third Proportional to 23,632,976 and 51,299,347

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Solution

The third proportional to 23,632,976 and 51,299,347 is: 111,353,855.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632,976 : 51,299,347 = 51,299,347 : x
  2. Step 2: Convert to fraction form
    23,632,976/51,299,347 = 51,299,347/x
  3. Step 3: Cross multiply
    23,632,976x = 51,299,347 × 51,299,347
  4. Step 4: Simplify right side
    23,632,976x = 2,631,623,002,626,409
  5. Step 5: Solve for x
    x = 2,631,623,002,626,409/23,632,976
  6. Step 6: Final answer
    x = 111,353,855.84

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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.