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Finding the Third Proportional to 11,823,048 and 25,414,168

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Solution

The third proportional to 11,823,048 and 25,414,168 is: 54,628,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823,048 : 25,414,168 = 25,414,168 : x
  2. Step 2: Convert to fraction form
    11,823,048/25,414,168 = 25,414,168/x
  3. Step 3: Cross multiply
    11,823,048x = 25,414,168 × 25,414,168
  4. Step 4: Simplify right side
    11,823,048x = 645,879,935,132,224
  5. Step 5: Solve for x
    x = 645,879,935,132,224/11,823,048
  6. Step 6: Final answer
    x = 54,628,885.47

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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.