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Finding the Third Proportional to 11,761,210 and 25,224,150

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Solution

The third proportional to 11,761,210 and 25,224,150 is: 54,097,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761,210 : 25,224,150 = 25,224,150 : x
  2. Step 2: Convert to fraction form
    11,761,210/25,224,150 = 25,224,150/x
  3. Step 3: Cross multiply
    11,761,210x = 25,224,150 × 25,224,150
  4. Step 4: Simplify right side
    11,761,210x = 636,257,743,222,500
  5. Step 5: Solve for x
    x = 636,257,743,222,500/11,761,210
  6. Step 6: Final answer
    x = 54,097,983.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.