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Finding the Third Proportional to 8,628,713 and 18,724,174

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Solution

The third proportional to 8,628,713 and 18,724,174 is: 40,631,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628,713 : 18,724,174 = 18,724,174 : x
  2. Step 2: Convert to fraction form
    8,628,713/18,724,174 = 18,724,174/x
  3. Step 3: Cross multiply
    8,628,713x = 18,724,174 × 18,724,174
  4. Step 4: Simplify right side
    8,628,713x = 350,594,691,982,276
  5. Step 5: Solve for x
    x = 350,594,691,982,276/8,628,713
  6. Step 6: Final answer
    x = 40,631,168.52

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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.