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Finding the Third Proportional to 5,200,696 and 8,084,200

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Solution

The third proportional to 5,200,696 and 8,084,200 is: 12,566,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,696 : 8,084,200 = 8,084,200 : x
  2. Step 2: Convert to fraction form
    5,200,696/8,084,200 = 8,084,200/x
  3. Step 3: Cross multiply
    5,200,696x = 8,084,200 × 8,084,200
  4. Step 4: Simplify right side
    5,200,696x = 65,354,289,640,000
  5. Step 5: Solve for x
    x = 65,354,289,640,000/5,200,696
  6. Step 6: Final answer
    x = 12,566,450.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.