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Finding the Third Proportional to 41,652,069 and 89,704,905

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Solution

The third proportional to 41,652,069 and 89,704,905 is: 193,194,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,652,069 : 89,704,905 = 89,704,905 : x
  2. Step 2: Convert to fraction form
    41,652,069/89,704,905 = 89,704,905/x
  3. Step 3: Cross multiply
    41,652,069x = 89,704,905 × 89,704,905
  4. Step 4: Simplify right side
    41,652,069x = 8,046,969,981,059,025
  5. Step 5: Solve for x
    x = 8,046,969,981,059,025/41,652,069
  6. Step 6: Final answer
    x = 193,194,964.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.