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Finding the Third Proportional to 34,605,132.75 and 75,151,468.69

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Solution

The third proportional to 34,605,132.75 and 75,151,468.69 is: 163,205,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,605,132.75 : 75,151,468.69 = 75,151,468.69 : x
  2. Step 2: Convert to fraction form
    34,605,132.75/75,151,468.69 = 75,151,468.69/x
  3. Step 3: Cross multiply
    34,605,132.75x = 75,151,468.69 × 75,151,468.69
  4. Step 4: Simplify right side
    34,605,132.75x = 5,647,743,245,888,293
  5. Step 5: Solve for x
    x = 5,647,743,245,888,293/34,605,132.75
  6. Step 6: Final answer
    x = 163,205,362.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.