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Finding the Third Proportional to 515,463,324,462 and 1,045,624,446,945

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Solution

The third proportional to 515,463,324,462 and 1,045,624,446,945 is: 2,121,063,579,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,463,324,462 : 1,045,624,446,945 = 1,045,624,446,945 : x
  2. Step 2: Convert to fraction form
    515,463,324,462/1,045,624,446,945 = 1,045,624,446,945/x
  3. Step 3: Cross multiply
    515,463,324,462x = 1,045,624,446,945 × 1,045,624,446,945
  4. Step 4: Simplify right side
    515,463,324,462x = 1,093,330,484,049,037,129,416,704
  5. Step 5: Solve for x
    x = 1,093,330,484,049,037,129,416,704/515,463,324,462
  6. Step 6: Final answer
    x = 2,121,063,579,431.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.