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Finding the Third Proportional to 7,301,193 and 11,350,023

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Solution

The third proportional to 7,301,193 and 11,350,023 is: 17,644,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301,193 : 11,350,023 = 11,350,023 : x
  2. Step 2: Convert to fraction form
    7,301,193/11,350,023 = 11,350,023/x
  3. Step 3: Cross multiply
    7,301,193x = 11,350,023 × 11,350,023
  4. Step 4: Simplify right side
    7,301,193x = 128,823,022,100,529
  5. Step 5: Solve for x
    x = 128,823,022,100,529/7,301,193
  6. Step 6: Final answer
    x = 17,644,105.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.