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Finding the Third Proportional to 12,667,724 and 27,657,742

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Solution

The third proportional to 12,667,724 and 27,657,742 is: 60,385,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667,724 : 27,657,742 = 27,657,742 : x
  2. Step 2: Convert to fraction form
    12,667,724/27,657,742 = 27,657,742/x
  3. Step 3: Cross multiply
    12,667,724x = 27,657,742 × 27,657,742
  4. Step 4: Simplify right side
    12,667,724x = 764,950,692,538,564
  5. Step 5: Solve for x
    x = 764,950,692,538,564/12,667,724
  6. Step 6: Final answer
    x = 60,385,803.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.