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Finding the Third Proportional to 9,107,469 and 19,728,306

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Solution

The third proportional to 9,107,469 and 19,728,306 is: 42,734,821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107,469 : 19,728,306 = 19,728,306 : x
  2. Step 2: Convert to fraction form
    9,107,469/19,728,306 = 19,728,306/x
  3. Step 3: Cross multiply
    9,107,469x = 19,728,306 × 19,728,306
  4. Step 4: Simplify right side
    9,107,469x = 389,206,057,629,636
  5. Step 5: Solve for x
    x = 389,206,057,629,636/9,107,469
  6. Step 6: Final answer
    x = 42,734,821.02

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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.