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Finding the Third Proportional to 11,926,676 and 26,196,381

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Solution

The third proportional to 11,926,676 and 26,196,381 is: 57,539,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926,676 : 26,196,381 = 26,196,381 : x
  2. Step 2: Convert to fraction form
    11,926,676/26,196,381 = 26,196,381/x
  3. Step 3: Cross multiply
    11,926,676x = 26,196,381 × 26,196,381
  4. Step 4: Simplify right side
    11,926,676x = 686,250,377,497,161
  5. Step 5: Solve for x
    x = 686,250,377,497,161/11,926,676
  6. Step 6: Final answer
    x = 57,539,114.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.