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Finding the Third Proportional to 84,487,922,800 and 179,048,778,313

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Solution

The third proportional to 84,487,922,800 and 179,048,778,313 is: 379,444,350,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,487,922,800 : 179,048,778,313 = 179,048,778,313 : x
  2. Step 2: Convert to fraction form
    84,487,922,800/179,048,778,313 = 179,048,778,313/x
  3. Step 3: Cross multiply
    84,487,922,800x = 179,048,778,313 × 179,048,778,313
  4. Step 4: Simplify right side
    84,487,922,800x = 32,058,465,015,377,820,647,424
  5. Step 5: Solve for x
    x = 32,058,465,015,377,820,647,424/84,487,922,800
  6. Step 6: Final answer
    x = 379,444,350,777.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.