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Finding the Third Proportional to 34,002,600 and 73,378,578

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Solution

The third proportional to 34,002,600 and 73,378,578 is: 158,353,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,002,600 : 73,378,578 = 73,378,578 : x
  2. Step 2: Convert to fraction form
    34,002,600/73,378,578 = 73,378,578/x
  3. Step 3: Cross multiply
    34,002,600x = 73,378,578 × 73,378,578
  4. Step 4: Simplify right side
    34,002,600x = 5,384,415,709,302,084
  5. Step 5: Solve for x
    x = 5,384,415,709,302,084/34,002,600
  6. Step 6: Final answer
    x = 158,353,058.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.