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Finding the Third Proportional to 5,309,083 and 8,198,326

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Solution

The third proportional to 5,309,083 and 8,198,326 is: 12,659,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309,083 : 8,198,326 = 8,198,326 : x
  2. Step 2: Convert to fraction form
    5,309,083/8,198,326 = 8,198,326/x
  3. Step 3: Cross multiply
    5,309,083x = 8,198,326 × 8,198,326
  4. Step 4: Simplify right side
    5,309,083x = 67,212,549,202,276
  5. Step 5: Solve for x
    x = 67,212,549,202,276/5,309,083
  6. Step 6: Final answer
    x = 12,659,916.83

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.