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Finding the Third Proportional to 33,993,027 and 51,273,607.50

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Solution

The third proportional to 33,993,027 and 51,273,607.50 is: 77,338,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,993,027 : 51,273,607.50 = 51,273,607.50 : x
  2. Step 2: Convert to fraction form
    33,993,027/51,273,607.50 = 51,273,607.50/x
  3. Step 3: Cross multiply
    33,993,027x = 51,273,607.50 × 51,273,607.50
  4. Step 4: Simplify right side
    33,993,027x = 2,628,982,826,064,056
  5. Step 5: Solve for x
    x = 2,628,982,826,064,056/33,993,027
  6. Step 6: Final answer
    x = 77,338,885.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.