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Finding the Third Proportional to 3,448,665.75 and 8,129,464.50

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Solution

The third proportional to 3,448,665.75 and 8,129,464.50 is: 19,163,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448,665.75 : 8,129,464.50 = 8,129,464.50 : x
  2. Step 2: Convert to fraction form
    3,448,665.75/8,129,464.50 = 8,129,464.50/x
  3. Step 3: Cross multiply
    3,448,665.75x = 8,129,464.50 × 8,129,464.50
  4. Step 4: Simplify right side
    3,448,665.75x = 66,088,193,056,760.25
  5. Step 5: Solve for x
    x = 66,088,193,056,760.25/3,448,665.75
  6. Step 6: Final answer
    x = 19,163,409.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.