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Finding the Third Proportional to 5,302,023.75 and 8,107,236

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Solution

The third proportional to 5,302,023.75 and 8,107,236 is: 12,396,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302,023.75 : 8,107,236 = 8,107,236 : x
  2. Step 2: Convert to fraction form
    5,302,023.75/8,107,236 = 8,107,236/x
  3. Step 3: Cross multiply
    5,302,023.75x = 8,107,236 × 8,107,236
  4. Step 4: Simplify right side
    5,302,023.75x = 65,727,275,559,696
  5. Step 5: Solve for x
    x = 65,727,275,559,696/5,302,023.75
  6. Step 6: Final answer
    x = 12,396,639.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.