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Finding the Third Proportional to 8,219,462.50 and 13,090,233.75

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Solution

The third proportional to 8,219,462.50 and 13,090,233.75 is: 20,847,375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219,462.50 : 13,090,233.75 = 13,090,233.75 : x
  2. Step 2: Convert to fraction form
    8,219,462.50/13,090,233.75 = 13,090,233.75/x
  3. Step 3: Cross multiply
    8,219,462.50x = 13,090,233.75 × 13,090,233.75
  4. Step 4: Simplify right side
    8,219,462.50x = 171,354,219,629,639.06
  5. Step 5: Solve for x
    x = 171,354,219,629,639.06/8,219,462.50
  6. Step 6: Final answer
    x = 20,847,375.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.