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Finding the Third Proportional to 17,643,898 and 38,219,022

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Solution

The third proportional to 17,643,898 and 38,219,022 is: 82,787,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643,898 : 38,219,022 = 38,219,022 : x
  2. Step 2: Convert to fraction form
    17,643,898/38,219,022 = 38,219,022/x
  3. Step 3: Cross multiply
    17,643,898x = 38,219,022 × 38,219,022
  4. Step 4: Simplify right side
    17,643,898x = 1,460,693,642,636,484
  5. Step 5: Solve for x
    x = 1,460,693,642,636,484/17,643,898
  6. Step 6: Final answer
    x = 82,787,468.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.