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Finding the Third Proportional to 24,033,276 and 51,649,836

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Solution

The third proportional to 24,033,276 and 51,649,836 is: 111,000,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,033,276 : 51,649,836 = 51,649,836 : x
  2. Step 2: Convert to fraction form
    24,033,276/51,649,836 = 51,649,836/x
  3. Step 3: Cross multiply
    24,033,276x = 51,649,836 × 51,649,836
  4. Step 4: Simplify right side
    24,033,276x = 2,667,705,558,826,896
  5. Step 5: Solve for x
    x = 2,667,705,558,826,896/24,033,276
  6. Step 6: Final answer
    x = 111,000,496.10

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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.