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Finding the Third Proportional to 39,682,574 and 85,033,816

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Solution

The third proportional to 39,682,574 and 85,033,816 is: 182,214,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,682,574 : 85,033,816 = 85,033,816 : x
  2. Step 2: Convert to fraction form
    39,682,574/85,033,816 = 85,033,816/x
  3. Step 3: Cross multiply
    39,682,574x = 85,033,816 × 85,033,816
  4. Step 4: Simplify right side
    39,682,574x = 7,230,749,863,521,856
  5. Step 5: Solve for x
    x = 7,230,749,863,521,856/39,682,574
  6. Step 6: Final answer
    x = 182,214,738.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.