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Finding the Third Proportional to 35,263,577.25 and 82,973,067.75

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Solution

The third proportional to 35,263,577.25 and 82,973,067.75 is: 195,230,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,263,577.25 : 82,973,067.75 = 82,973,067.75 : x
  2. Step 2: Convert to fraction form
    35,263,577.25/82,973,067.75 = 82,973,067.75/x
  3. Step 3: Cross multiply
    35,263,577.25x = 82,973,067.75 × 82,973,067.75
  4. Step 4: Simplify right side
    35,263,577.25x = 6,884,529,971,846,090
  5. Step 5: Solve for x
    x = 6,884,529,971,846,090/35,263,577.25
  6. Step 6: Final answer
    x = 195,230,617.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.