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Finding the Third Proportional to 41,649,536 and 85,328,600

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Solution

The third proportional to 41,649,536 and 85,328,600 is: 174,815,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,649,536 : 85,328,600 = 85,328,600 : x
  2. Step 2: Convert to fraction form
    41,649,536/85,328,600 = 85,328,600/x
  3. Step 3: Cross multiply
    41,649,536x = 85,328,600 × 85,328,600
  4. Step 4: Simplify right side
    41,649,536x = 7,280,969,977,960,000
  5. Step 5: Solve for x
    x = 7,280,969,977,960,000/41,649,536
  6. Step 6: Final answer
    x = 174,815,152.27

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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.