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Finding the Third Proportional to 33,012,221,652 and 72,509,783,790

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Solution

The third proportional to 33,012,221,652 and 72,509,783,790 is: 159,264,311,281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012,221,652 : 72,509,783,790 = 72,509,783,790 : x
  2. Step 2: Convert to fraction form
    33,012,221,652/72,509,783,790 = 72,509,783,790/x
  3. Step 3: Cross multiply
    33,012,221,652x = 72,509,783,790 × 72,509,783,790
  4. Step 4: Simplify right side
    33,012,221,652x = 5,257,668,745,272,546,557,952
  5. Step 5: Solve for x
    x = 5,257,668,745,272,546,557,952/33,012,221,652
  6. Step 6: Final answer
    x = 159,264,311,281.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.