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Finding the Third Proportional to 9,781,812 and 23,016,198

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Solution

The third proportional to 9,781,812 and 23,016,198 is: 54,156,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781,812 : 23,016,198 = 23,016,198 : x
  2. Step 2: Convert to fraction form
    9,781,812/23,016,198 = 23,016,198/x
  3. Step 3: Cross multiply
    9,781,812x = 23,016,198 × 23,016,198
  4. Step 4: Simplify right side
    9,781,812x = 529,745,370,375,204
  5. Step 5: Solve for x
    x = 529,745,370,375,204/9,781,812
  6. Step 6: Final answer
    x = 54,156,159.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.