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Finding the Third Proportional to 13,694,832 and 21,194,472

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Solution

The third proportional to 13,694,832 and 21,194,472 is: 32,801,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694,832 : 21,194,472 = 21,194,472 : x
  2. Step 2: Convert to fraction form
    13,694,832/21,194,472 = 21,194,472/x
  3. Step 3: Cross multiply
    13,694,832x = 21,194,472 × 21,194,472
  4. Step 4: Simplify right side
    13,694,832x = 449,205,643,358,784
  5. Step 5: Solve for x
    x = 449,205,643,358,784/13,694,832
  6. Step 6: Final answer
    x = 32,801,106.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.