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Finding the Third Proportional to 58,379,260 and 82,117,782

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Solution

The third proportional to 58,379,260 and 82,117,782 is: 115,509,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,379,260 : 82,117,782 = 82,117,782 : x
  2. Step 2: Convert to fraction form
    58,379,260/82,117,782 = 82,117,782/x
  3. Step 3: Cross multiply
    58,379,260x = 82,117,782 × 82,117,782
  4. Step 4: Simplify right side
    58,379,260x = 6,743,330,120,599,524
  5. Step 5: Solve for x
    x = 6,743,330,120,599,524/58,379,260
  6. Step 6: Final answer
    x = 115,509,003.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.