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Finding the Third Proportional to 41,901,230 and 65,397,831

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Solution

The third proportional to 41,901,230 and 65,397,831 is: 102,070,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,901,230 : 65,397,831 = 65,397,831 : x
  2. Step 2: Convert to fraction form
    41,901,230/65,397,831 = 65,397,831/x
  3. Step 3: Cross multiply
    41,901,230x = 65,397,831 × 65,397,831
  4. Step 4: Simplify right side
    41,901,230x = 4,276,876,299,504,561
  5. Step 5: Solve for x
    x = 4,276,876,299,504,561/41,901,230
  6. Step 6: Final answer
    x = 102,070,423.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.