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Finding the Third Proportional to 8,942,828 and 19,397,965

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Solution

The third proportional to 8,942,828 and 19,397,965 is: 42,076,292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942,828 : 19,397,965 = 19,397,965 : x
  2. Step 2: Convert to fraction form
    8,942,828/19,397,965 = 19,397,965/x
  3. Step 3: Cross multiply
    8,942,828x = 19,397,965 × 19,397,965
  4. Step 4: Simplify right side
    8,942,828x = 376,281,046,141,225
  5. Step 5: Solve for x
    x = 376,281,046,141,225/8,942,828
  6. Step 6: Final answer
    x = 42,076,292.44

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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.