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Finding the Third Proportional to 5,965,584 and 8,949,024

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Solution

The third proportional to 5,965,584 and 8,949,024 is: 13,424,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965,584 : 8,949,024 = 8,949,024 : x
  2. Step 2: Convert to fraction form
    5,965,584/8,949,024 = 8,949,024/x
  3. Step 3: Cross multiply
    5,965,584x = 8,949,024 × 8,949,024
  4. Step 4: Simplify right side
    5,965,584x = 80,085,030,552,576
  5. Step 5: Solve for x
    x = 80,085,030,552,576/5,965,584
  6. Step 6: Final answer
    x = 13,424,508.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.