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Finding the Third Proportional to 5,104,047.94 and 8,085,919.92

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Solution

The third proportional to 5,104,047.94 and 8,085,919.92 is: 12,809,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104,047.94 : 8,085,919.92 = 8,085,919.92 : x
  2. Step 2: Convert to fraction form
    5,104,047.94/8,085,919.92 = 8,085,919.92/x
  3. Step 3: Cross multiply
    5,104,047.94x = 8,085,919.92 × 8,085,919.92
  4. Step 4: Simplify right side
    5,104,047.94x = 65,382,100,982,975.01
  5. Step 5: Solve for x
    x = 65,382,100,982,975.01/5,104,047.94
  6. Step 6: Final answer
    x = 12,809,852.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.