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Finding the Third Proportional to 3,205,071.28 and 7,017,997.57

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Solution

The third proportional to 3,205,071.28 and 7,017,997.57 is: 15,366,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,071.28 : 7,017,997.57 = 7,017,997.57 : x
  2. Step 2: Convert to fraction form
    3,205,071.28/7,017,997.57 = 7,017,997.57/x
  3. Step 3: Cross multiply
    3,205,071.28x = 7,017,997.57 × 7,017,997.57
  4. Step 4: Simplify right side
    3,205,071.28x = 49,252,289,896,912.16
  5. Step 5: Solve for x
    x = 49,252,289,896,912.16/3,205,071.28
  6. Step 6: Final answer
    x = 15,366,987.37

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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.