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Finding the Third Proportional to 11,823,036 and 25,414,152

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Solution

The third proportional to 11,823,036 and 25,414,152 is: 54,628,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823,036 : 25,414,152 = 25,414,152 : x
  2. Step 2: Convert to fraction form
    11,823,036/25,414,152 = 25,414,152/x
  3. Step 3: Cross multiply
    11,823,036x = 25,414,152 × 25,414,152
  4. Step 4: Simplify right side
    11,823,036x = 645,879,121,879,104
  5. Step 5: Solve for x
    x = 645,879,121,879,104/11,823,036
  6. Step 6: Final answer
    x = 54,628,872.13

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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.