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Finding the Third Proportional to 5,659,863.75 and 8,826,098.06

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Solution

The third proportional to 5,659,863.75 and 8,826,098.06 is: 13,763,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659,863.75 : 8,826,098.06 = 8,826,098.06 : x
  2. Step 2: Convert to fraction form
    5,659,863.75/8,826,098.06 = 8,826,098.06/x
  3. Step 3: Cross multiply
    5,659,863.75x = 8,826,098.06 × 8,826,098.06
  4. Step 4: Simplify right side
    5,659,863.75x = 77,900,007,008,866.25
  5. Step 5: Solve for x
    x = 77,900,007,008,866.25/5,659,863.75
  6. Step 6: Final answer
    x = 13,763,583.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.