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Finding the Third Proportional to 11,647,512 and 24,788,754

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Solution

The third proportional to 11,647,512 and 24,788,754 is: 52,756,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647,512 : 24,788,754 = 24,788,754 : x
  2. Step 2: Convert to fraction form
    11,647,512/24,788,754 = 24,788,754/x
  3. Step 3: Cross multiply
    11,647,512x = 24,788,754 × 24,788,754
  4. Step 4: Simplify right side
    11,647,512x = 614,482,324,872,516
  5. Step 5: Solve for x
    x = 614,482,324,872,516/11,647,512
  6. Step 6: Final answer
    x = 52,756,530.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.