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Finding the Third Proportional to 11,453,568 and 24,700,512

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Solution

The third proportional to 11,453,568 and 24,700,512 is: 53,268,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453,568 : 24,700,512 = 24,700,512 : x
  2. Step 2: Convert to fraction form
    11,453,568/24,700,512 = 24,700,512/x
  3. Step 3: Cross multiply
    11,453,568x = 24,700,512 × 24,700,512
  4. Step 4: Simplify right side
    11,453,568x = 610,115,293,062,144
  5. Step 5: Solve for x
    x = 610,115,293,062,144/11,453,568
  6. Step 6: Final answer
    x = 53,268,579.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.