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Finding the Third Proportional to 12,805,839 and 27,951,951

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Solution

The third proportional to 12,805,839 and 27,951,951 is: 61,012,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805,839 : 27,951,951 = 27,951,951 : x
  2. Step 2: Convert to fraction form
    12,805,839/27,951,951 = 27,951,951/x
  3. Step 3: Cross multiply
    12,805,839x = 27,951,951 × 27,951,951
  4. Step 4: Simplify right side
    12,805,839x = 781,311,564,706,401
  5. Step 5: Solve for x
    x = 781,311,564,706,401/12,805,839
  6. Step 6: Final answer
    x = 61,012,133.97

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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.