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Finding the Third Proportional to 11,896,826 and 25,519,564

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Solution

The third proportional to 11,896,826 and 25,519,564 is: 54,741,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896,826 : 25,519,564 = 25,519,564 : x
  2. Step 2: Convert to fraction form
    11,896,826/25,519,564 = 25,519,564/x
  3. Step 3: Cross multiply
    11,896,826x = 25,519,564 × 25,519,564
  4. Step 4: Simplify right side
    11,896,826x = 651,248,146,750,096
  5. Step 5: Solve for x
    x = 651,248,146,750,096/11,896,826
  6. Step 6: Final answer
    x = 54,741,335.78

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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.