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Finding the Third Proportional to 33,400,208 and 51,716,433

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Solution

The third proportional to 33,400,208 and 51,716,433 is: 80,077,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,400,208 : 51,716,433 = 51,716,433 : x
  2. Step 2: Convert to fraction form
    33,400,208/51,716,433 = 51,716,433/x
  3. Step 3: Cross multiply
    33,400,208x = 51,716,433 × 51,716,433
  4. Step 4: Simplify right side
    33,400,208x = 2,674,589,442,243,489
  5. Step 5: Solve for x
    x = 2,674,589,442,243,489/33,400,208
  6. Step 6: Final answer
    x = 80,077,029.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.