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Finding the Third Proportional to 6,147,312.75 and 9,171,144

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Solution

The third proportional to 6,147,312.75 and 9,171,144 is: 13,682,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147,312.75 : 9,171,144 = 9,171,144 : x
  2. Step 2: Convert to fraction form
    6,147,312.75/9,171,144 = 9,171,144/x
  3. Step 3: Cross multiply
    6,147,312.75x = 9,171,144 × 9,171,144
  4. Step 4: Simplify right side
    6,147,312.75x = 84,109,882,268,736
  5. Step 5: Solve for x
    x = 84,109,882,268,736/6,147,312.75
  6. Step 6: Final answer
    x = 13,682,382.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.