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Finding the Third Proportional to 41,942,381 and 56,666,766

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Solution

The third proportional to 41,942,381 and 56,666,766 is: 76,560,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,942,381 : 56,666,766 = 56,666,766 : x
  2. Step 2: Convert to fraction form
    41,942,381/56,666,766 = 56,666,766/x
  3. Step 3: Cross multiply
    41,942,381x = 56,666,766 × 56,666,766
  4. Step 4: Simplify right side
    41,942,381x = 3,211,122,368,898,756
  5. Step 5: Solve for x
    x = 3,211,122,368,898,756/41,942,381
  6. Step 6: Final answer
    x = 76,560,326.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.