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Finding the Third Proportional to 33,993,032 and 51,273,614

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Solution

The third proportional to 33,993,032 and 51,273,614 is: 77,338,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,993,032 : 51,273,614 = 51,273,614 : x
  2. Step 2: Convert to fraction form
    33,993,032/51,273,614 = 51,273,614/x
  3. Step 3: Cross multiply
    33,993,032x = 51,273,614 × 51,273,614
  4. Step 4: Simplify right side
    33,993,032x = 2,628,983,492,620,996
  5. Step 5: Solve for x
    x = 2,628,983,492,620,996/33,993,032
  6. Step 6: Final answer
    x = 77,338,893.82

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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.