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Finding the Third Proportional to 41,321,424 and 90,083,032.50

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Solution

The third proportional to 41,321,424 and 90,083,032.50 is: 196,386,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,321,424 : 90,083,032.50 = 90,083,032.50 : x
  2. Step 2: Convert to fraction form
    41,321,424/90,083,032.50 = 90,083,032.50/x
  3. Step 3: Cross multiply
    41,321,424x = 90,083,032.50 × 90,083,032.50
  4. Step 4: Simplify right side
    41,321,424x = 8,114,952,744,396,056
  5. Step 5: Solve for x
    x = 8,114,952,744,396,056/41,321,424
  6. Step 6: Final answer
    x = 196,386,086.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.