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Finding the Third Proportional to 84,524,914,768 and 184,237,343,876

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Solution

The third proportional to 84,524,914,768 and 184,237,343,876 is: 401,578,622,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,524,914,768 : 184,237,343,876 = 184,237,343,876 : x
  2. Step 2: Convert to fraction form
    84,524,914,768/184,237,343,876 = 184,237,343,876/x
  3. Step 3: Cross multiply
    84,524,914,768x = 184,237,343,876 × 184,237,343,876
  4. Step 4: Simplify right side
    84,524,914,768x = 33,943,398,878,483,474,022,400
  5. Step 5: Solve for x
    x = 33,943,398,878,483,474,022,400/84,524,914,768
  6. Step 6: Final answer
    x = 401,578,622,961.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.