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Finding the Third Proportional to 3,784,628 and 8,199,184

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Solution

The third proportional to 3,784,628 and 8,199,184 is: 17,763,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784,628 : 8,199,184 = 8,199,184 : x
  2. Step 2: Convert to fraction form
    3,784,628/8,199,184 = 8,199,184/x
  3. Step 3: Cross multiply
    3,784,628x = 8,199,184 × 8,199,184
  4. Step 4: Simplify right side
    3,784,628x = 67,226,618,265,856
  5. Step 5: Solve for x
    x = 67,226,618,265,856/3,784,628
  6. Step 6: Final answer
    x = 17,763,071.63

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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.