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Finding the Third Proportional to 13,692,298 and 29,667,812

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Solution

The third proportional to 13,692,298 and 29,667,812 is: 64,282,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692,298 : 29,667,812 = 29,667,812 : x
  2. Step 2: Convert to fraction form
    13,692,298/29,667,812 = 29,667,812/x
  3. Step 3: Cross multiply
    13,692,298x = 29,667,812 × 29,667,812
  4. Step 4: Simplify right side
    13,692,298x = 880,179,068,867,344
  5. Step 5: Solve for x
    x = 880,179,068,867,344/13,692,298
  6. Step 6: Final answer
    x = 64,282,786.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.