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Finding the Third Proportional to 6,368,182.88 and 13,987,409.06

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Solution

The third proportional to 6,368,182.88 and 13,987,409.06 is: 30,722,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368,182.88 : 13,987,409.06 = 13,987,409.06 : x
  2. Step 2: Convert to fraction form
    6,368,182.88/13,987,409.06 = 13,987,409.06/x
  3. Step 3: Cross multiply
    6,368,182.88x = 13,987,409.06 × 13,987,409.06
  4. Step 4: Simplify right side
    6,368,182.88x = 195,647,612,281,707.12
  5. Step 5: Solve for x
    x = 195,647,612,281,707.12/6,368,182.88
  6. Step 6: Final answer
    x = 30,722,674.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.