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Finding the Third Proportional to 11,836,203 and 25,470,107

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Solution

The third proportional to 11,836,203 and 25,470,107 is: 54,808,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836,203 : 25,470,107 = 25,470,107 : x
  2. Step 2: Convert to fraction form
    11,836,203/25,470,107 = 25,470,107/x
  3. Step 3: Cross multiply
    11,836,203x = 25,470,107 × 25,470,107
  4. Step 4: Simplify right side
    11,836,203x = 648,726,350,591,449
  5. Step 5: Solve for x
    x = 648,726,350,591,449/11,836,203
  6. Step 6: Final answer
    x = 54,808,653.64

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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.