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Finding the Third Proportional to 35,263,428.75 and 82,972,698.75

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Solution

The third proportional to 35,263,428.75 and 82,972,698.75 is: 195,229,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,263,428.75 : 82,972,698.75 = 82,972,698.75 : x
  2. Step 2: Convert to fraction form
    35,263,428.75/82,972,698.75 = 82,972,698.75/x
  3. Step 3: Cross multiply
    35,263,428.75x = 82,972,698.75 × 82,972,698.75
  4. Step 4: Simplify right side
    35,263,428.75x = 6,884,468,737,858,252
  5. Step 5: Solve for x
    x = 6,884,468,737,858,252/35,263,428.75
  6. Step 6: Final answer
    x = 195,229,703.46

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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.