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Finding the Third Proportional to 12,882,100 and 27,781,864

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Solution

The third proportional to 12,882,100 and 27,781,864 is: 59,915,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882,100 : 27,781,864 = 27,781,864 : x
  2. Step 2: Convert to fraction form
    12,882,100/27,781,864 = 27,781,864/x
  3. Step 3: Cross multiply
    12,882,100x = 27,781,864 × 27,781,864
  4. Step 4: Simplify right side
    12,882,100x = 771,831,967,314,496
  5. Step 5: Solve for x
    x = 771,831,967,314,496/12,882,100
  6. Step 6: Final answer
    x = 59,915,073.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.