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Finding the Third Proportional to 2,907,168 and 6,368,256

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Solution

The third proportional to 2,907,168 and 6,368,256 is: 13,949,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907,168 : 6,368,256 = 6,368,256 : x
  2. Step 2: Convert to fraction form
    2,907,168/6,368,256 = 6,368,256/x
  3. Step 3: Cross multiply
    2,907,168x = 6,368,256 × 6,368,256
  4. Step 4: Simplify right side
    2,907,168x = 40,554,684,481,536
  5. Step 5: Solve for x
    x = 40,554,684,481,536/2,907,168
  6. Step 6: Final answer
    x = 13,949,893.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.