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Finding the Third Proportional to 33,597,293,587 and 71,986,782,296

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Solution

The third proportional to 33,597,293,587 and 71,986,782,296 is: 154,241,496,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,597,293,587 : 71,986,782,296 = 71,986,782,296 : x
  2. Step 2: Convert to fraction form
    33,597,293,587/71,986,782,296 = 71,986,782,296/x
  3. Step 3: Cross multiply
    33,597,293,587x = 71,986,782,296 × 71,986,782,296
  4. Step 4: Simplify right side
    33,597,293,587x = 5,182,096,825,331,698,630,656
  5. Step 5: Solve for x
    x = 5,182,096,825,331,698,630,656/33,597,293,587
  6. Step 6: Final answer
    x = 154,241,496,027.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.