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Finding the Third Proportional to 84,295,317,526 and 182,025,846,734

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Solution

The third proportional to 84,295,317,526 and 182,025,846,734 is: 393,063,456,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,295,317,526 : 182,025,846,734 = 182,025,846,734 : x
  2. Step 2: Convert to fraction form
    84,295,317,526/182,025,846,734 = 182,025,846,734/x
  3. Step 3: Cross multiply
    84,295,317,526x = 182,025,846,734 × 182,025,846,734
  4. Step 4: Simplify right side
    84,295,317,526x = 33,133,408,879,229,660,037,120
  5. Step 5: Solve for x
    x = 33,133,408,879,229,660,037,120/84,295,317,526
  6. Step 6: Final answer
    x = 393,063,456,567.56

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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.