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Finding the Third Proportional to 216,846,742 and 330,352,022

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Solution

The third proportional to 216,846,742 and 330,352,022 is: 503,269,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,846,742 : 330,352,022 = 330,352,022 : x
  2. Step 2: Convert to fraction form
    216,846,742/330,352,022 = 330,352,022/x
  3. Step 3: Cross multiply
    216,846,742x = 330,352,022 × 330,352,022
  4. Step 4: Simplify right side
    216,846,742x = 109,132,458,439,488,480
  5. Step 5: Solve for x
    x = 109,132,458,439,488,480/216,846,742
  6. Step 6: Final answer
    x = 503,269,993.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.