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Finding the Third Proportional to 34,002,599 and 73,378,576

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Solution

The third proportional to 34,002,599 and 73,378,576 is: 158,353,054.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,002,599 : 73,378,576 = 73,378,576 : x
  2. Step 2: Convert to fraction form
    34,002,599/73,378,576 = 73,378,576/x
  3. Step 3: Cross multiply
    34,002,599x = 73,378,576 × 73,378,576
  4. Step 4: Simplify right side
    34,002,599x = 5,384,415,415,787,776
  5. Step 5: Solve for x
    x = 5,384,415,415,787,776/34,002,599
  6. Step 6: Final answer
    x = 158,353,054.59

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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.