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Finding the Third Proportional to 5,860,314 and 12,668,085

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Solution

The third proportional to 5,860,314 and 12,668,085 is: 27,384,262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860,314 : 12,668,085 = 12,668,085 : x
  2. Step 2: Convert to fraction form
    5,860,314/12,668,085 = 12,668,085/x
  3. Step 3: Cross multiply
    5,860,314x = 12,668,085 × 12,668,085
  4. Step 4: Simplify right side
    5,860,314x = 160,480,377,567,225
  5. Step 5: Solve for x
    x = 160,480,377,567,225/5,860,314
  6. Step 6: Final answer
    x = 27,384,262.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.