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Finding the Third Proportional to 4,203,966 and 9,193,146

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Solution

The third proportional to 4,203,966 and 9,193,146 is: 20,103,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203,966 : 9,193,146 = 9,193,146 : x
  2. Step 2: Convert to fraction form
    4,203,966/9,193,146 = 9,193,146/x
  3. Step 3: Cross multiply
    4,203,966x = 9,193,146 × 9,193,146
  4. Step 4: Simplify right side
    4,203,966x = 84,513,933,377,316
  5. Step 5: Solve for x
    x = 84,513,933,377,316/4,203,966
  6. Step 6: Final answer
    x = 20,103,381.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.