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Finding the Third Proportional to 41,649,538 and 85,328,604

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Solution

The third proportional to 41,649,538 and 85,328,604 is: 174,815,160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,649,538 : 85,328,604 = 85,328,604 : x
  2. Step 2: Convert to fraction form
    41,649,538/85,328,604 = 85,328,604/x
  3. Step 3: Cross multiply
    41,649,538x = 85,328,604 × 85,328,604
  4. Step 4: Simplify right side
    41,649,538x = 7,280,970,660,588,816
  5. Step 5: Solve for x
    x = 7,280,970,660,588,816/41,649,538
  6. Step 6: Final answer
    x = 174,815,160.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.