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Finding the Third Proportional to 84,295,317,521 and 182,025,846,726

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Solution

The third proportional to 84,295,317,521 and 182,025,846,726 is: 393,063,456,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,295,317,521 : 182,025,846,726 = 182,025,846,726 : x
  2. Step 2: Convert to fraction form
    84,295,317,521/182,025,846,726 = 182,025,846,726/x
  3. Step 3: Cross multiply
    84,295,317,521x = 182,025,846,726 × 182,025,846,726
  4. Step 4: Simplify right side
    84,295,317,521x = 33,133,408,876,317,244,391,424
  5. Step 5: Solve for x
    x = 33,133,408,876,317,244,391,424/84,295,317,521
  6. Step 6: Final answer
    x = 393,063,456,556.33

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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.