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Finding the Third Proportional to 33,846,034 and 51,562,635

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Solution

The third proportional to 33,846,034 and 51,562,635 is: 78,552,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,846,034 : 51,562,635 = 51,562,635 : x
  2. Step 2: Convert to fraction form
    33,846,034/51,562,635 = 51,562,635/x
  3. Step 3: Cross multiply
    33,846,034x = 51,562,635 × 51,562,635
  4. Step 4: Simplify right side
    33,846,034x = 2,658,705,328,143,225
  5. Step 5: Solve for x
    x = 2,658,705,328,143,225/33,846,034
  6. Step 6: Final answer
    x = 78,552,935.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.