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Finding the Third Proportional to 34,738,409.25 and 75,526,884

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Solution

The third proportional to 34,738,409.25 and 75,526,884 is: 164,207,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,738,409.25 : 75,526,884 = 75,526,884 : x
  2. Step 2: Convert to fraction form
    34,738,409.25/75,526,884 = 75,526,884/x
  3. Step 3: Cross multiply
    34,738,409.25x = 75,526,884 × 75,526,884
  4. Step 4: Simplify right side
    34,738,409.25x = 5,704,310,206,749,456
  5. Step 5: Solve for x
    x = 5,704,310,206,749,456/34,738,409.25
  6. Step 6: Final answer
    x = 164,207,582.61

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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.