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Finding the Third Proportional to 39,682,576 and 85,033,820

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Solution

The third proportional to 39,682,576 and 85,033,820 is: 182,214,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,682,576 : 85,033,820 = 85,033,820 : x
  2. Step 2: Convert to fraction form
    39,682,576/85,033,820 = 85,033,820/x
  3. Step 3: Cross multiply
    39,682,576x = 85,033,820 × 85,033,820
  4. Step 4: Simplify right side
    39,682,576x = 7,230,750,543,792,400
  5. Step 5: Solve for x
    x = 7,230,750,543,792,400/39,682,576
  6. Step 6: Final answer
    x = 182,214,746.94

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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.