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Finding the Third Proportional to 8,821,471 and 19,109,022

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Solution

The third proportional to 8,821,471 and 19,109,022 is: 41,393,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821,471 : 19,109,022 = 19,109,022 : x
  2. Step 2: Convert to fraction form
    8,821,471/19,109,022 = 19,109,022/x
  3. Step 3: Cross multiply
    8,821,471x = 19,109,022 × 19,109,022
  4. Step 4: Simplify right side
    8,821,471x = 365,154,721,796,484
  5. Step 5: Solve for x
    x = 365,154,721,796,484/8,821,471
  6. Step 6: Final answer
    x = 41,393,858.44

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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.