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Finding the Third Proportional to 33,254,361.75 and 77,697,193.88

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Solution

The third proportional to 33,254,361.75 and 77,697,193.88 is: 181,535,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,254,361.75 : 77,697,193.88 = 77,697,193.88 : x
  2. Step 2: Convert to fraction form
    33,254,361.75/77,697,193.88 = 77,697,193.88/x
  3. Step 3: Cross multiply
    33,254,361.75x = 77,697,193.88 × 77,697,193.88
  4. Step 4: Simplify right side
    33,254,361.75x = 6,036,853,936,049,338
  5. Step 5: Solve for x
    x = 6,036,853,936,049,338/33,254,361.75
  6. Step 6: Final answer
    x = 181,535,702.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.