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Finding the Third Proportional to 75,582,738 and 165,809,628

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Solution

The third proportional to 75,582,738 and 165,809,628 is: 363,744,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,582,738 : 165,809,628 = 165,809,628 : x
  2. Step 2: Convert to fraction form
    75,582,738/165,809,628 = 165,809,628/x
  3. Step 3: Cross multiply
    75,582,738x = 165,809,628 × 165,809,628
  4. Step 4: Simplify right side
    75,582,738x = 27,492,832,737,498,384
  5. Step 5: Solve for x
    x = 27,492,832,737,498,384/75,582,738
  6. Step 6: Final answer
    x = 363,744,863.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.