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Finding the Third Proportional to 5,205,444.75 and 8,104,652.44

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Solution

The third proportional to 5,205,444.75 and 8,104,652.44 is: 12,618,593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205,444.75 : 8,104,652.44 = 8,104,652.44 : x
  2. Step 2: Convert to fraction form
    5,205,444.75/8,104,652.44 = 8,104,652.44/x
  3. Step 3: Cross multiply
    5,205,444.75x = 8,104,652.44 × 8,104,652.44
  4. Step 4: Simplify right side
    5,205,444.75x = 65,685,391,132,674.69
  5. Step 5: Solve for x
    x = 65,685,391,132,674.69/5,205,444.75
  6. Step 6: Final answer
    x = 12,618,593.47

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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.