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Finding the Third Proportional to 84,295,317,542 and 182,025,846,756

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Solution

The third proportional to 84,295,317,542 and 182,025,846,756 is: 393,063,456,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,295,317,542 : 182,025,846,756 = 182,025,846,756 : x
  2. Step 2: Convert to fraction form
    84,295,317,542/182,025,846,756 = 182,025,846,756/x
  3. Step 3: Cross multiply
    84,295,317,542x = 182,025,846,756 × 182,025,846,756
  4. Step 4: Simplify right side
    84,295,317,542x = 33,133,408,887,238,796,771,328
  5. Step 5: Solve for x
    x = 33,133,408,887,238,796,771,328/84,295,317,542
  6. Step 6: Final answer
    x = 393,063,456,587.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.