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Finding the Third Proportional to 12,578,640 and 26,951,168

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Solution

The third proportional to 12,578,640 and 26,951,168 is: 57,745,945.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578,640 : 26,951,168 = 26,951,168 : x
  2. Step 2: Convert to fraction form
    12,578,640/26,951,168 = 26,951,168/x
  3. Step 3: Cross multiply
    12,578,640x = 26,951,168 × 26,951,168
  4. Step 4: Simplify right side
    12,578,640x = 726,365,456,564,224
  5. Step 5: Solve for x
    x = 726,365,456,564,224/12,578,640
  6. Step 6: Final answer
    x = 57,745,945.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.