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Finding the Third Proportional to 9,260,147 and 19,942,571

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Solution

The third proportional to 9,260,147 and 19,942,571 is: 42,948,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260,147 : 19,942,571 = 19,942,571 : x
  2. Step 2: Convert to fraction form
    9,260,147/19,942,571 = 19,942,571/x
  3. Step 3: Cross multiply
    9,260,147x = 19,942,571 × 19,942,571
  4. Step 4: Simplify right side
    9,260,147x = 397,706,138,090,041
  5. Step 5: Solve for x
    x = 397,706,138,090,041/9,260,147
  6. Step 6: Final answer
    x = 42,948,145.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.