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Finding the Third Proportional to 3,968,653.50 and 8,694,004.50

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Solution

The third proportional to 3,968,653.50 and 8,694,004.50 is: 19,045,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968,653.50 : 8,694,004.50 = 8,694,004.50 : x
  2. Step 2: Convert to fraction form
    3,968,653.50/8,694,004.50 = 8,694,004.50/x
  3. Step 3: Cross multiply
    3,968,653.50x = 8,694,004.50 × 8,694,004.50
  4. Step 4: Simplify right side
    3,968,653.50x = 75,585,714,246,020.25
  5. Step 5: Solve for x
    x = 75,585,714,246,020.25/3,968,653.50
  6. Step 6: Final answer
    x = 19,045,682.43

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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.