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Finding the Third Proportional to 39,583,165.50 and 82,442,578.50

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Solution

The third proportional to 39,583,165.50 and 82,442,578.50 is: 171,708,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,583,165.50 : 82,442,578.50 = 82,442,578.50 : x
  2. Step 2: Convert to fraction form
    39,583,165.50/82,442,578.50 = 82,442,578.50/x
  3. Step 3: Cross multiply
    39,583,165.50x = 82,442,578.50 × 82,442,578.50
  4. Step 4: Simplify right side
    39,583,165.50x = 6,796,778,749,728,662
  5. Step 5: Solve for x
    x = 6,796,778,749,728,662/39,583,165.50
  6. Step 6: Final answer
    x = 171,708,822.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.