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Finding the Third Proportional to 33,599,511 and 71,804,835

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Solution

The third proportional to 33,599,511 and 71,804,835 is: 153,452,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,599,511 : 71,804,835 = 71,804,835 : x
  2. Step 2: Convert to fraction form
    33,599,511/71,804,835 = 71,804,835/x
  3. Step 3: Cross multiply
    33,599,511x = 71,804,835 × 71,804,835
  4. Step 4: Simplify right side
    33,599,511x = 5,155,934,329,377,225
  5. Step 5: Solve for x
    x = 5,155,934,329,377,225/33,599,511
  6. Step 6: Final answer
    x = 153,452,659.75

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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.