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Finding the Third Proportional to 11,726,724 and 17,938,846

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Solution

The third proportional to 11,726,724 and 17,938,846 is: 27,441,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726,724 : 17,938,846 = 17,938,846 : x
  2. Step 2: Convert to fraction form
    11,726,724/17,938,846 = 17,938,846/x
  3. Step 3: Cross multiply
    11,726,724x = 17,938,846 × 17,938,846
  4. Step 4: Simplify right side
    11,726,724x = 321,802,195,811,716
  5. Step 5: Solve for x
    x = 321,802,195,811,716/11,726,724
  6. Step 6: Final answer
    x = 27,441,781.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.