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Finding the Third Proportional to 11,836,201 and 25,470,103

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Solution

The third proportional to 11,836,201 and 25,470,103 is: 54,808,645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836,201 : 25,470,103 = 25,470,103 : x
  2. Step 2: Convert to fraction form
    11,836,201/25,470,103 = 25,470,103/x
  3. Step 3: Cross multiply
    11,836,201x = 25,470,103 × 25,470,103
  4. Step 4: Simplify right side
    11,836,201x = 648,726,146,830,609
  5. Step 5: Solve for x
    x = 648,726,146,830,609/11,836,201
  6. Step 6: Final answer
    x = 54,808,645.68

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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.