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Finding the Third Proportional to 3,782,738 and 8,208,482

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Solution

The third proportional to 3,782,738 and 8,208,482 is: 17,812,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,738 : 8,208,482 = 8,208,482 : x
  2. Step 2: Convert to fraction form
    3,782,738/8,208,482 = 8,208,482/x
  3. Step 3: Cross multiply
    3,782,738x = 8,208,482 × 8,208,482
  4. Step 4: Simplify right side
    3,782,738x = 67,379,176,744,324
  5. Step 5: Solve for x
    x = 67,379,176,744,324/3,782,738
  6. Step 6: Final answer
    x = 17,812,276.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.