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Finding the Third Proportional to 3,782,740 and 8,208,486

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Solution

The third proportional to 3,782,740 and 8,208,486 is: 17,812,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,740 : 8,208,486 = 8,208,486 : x
  2. Step 2: Convert to fraction form
    3,782,740/8,208,486 = 8,208,486/x
  3. Step 3: Cross multiply
    3,782,740x = 8,208,486 × 8,208,486
  4. Step 4: Simplify right side
    3,782,740x = 67,379,242,412,196
  5. Step 5: Solve for x
    x = 67,379,242,412,196/3,782,740
  6. Step 6: Final answer
    x = 17,812,284.85

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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.