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Finding the Third Proportional to 6,285,438 and 8,197,969.50

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Solution

The third proportional to 6,285,438 and 8,197,969.50 is: 10,692,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285,438 : 8,197,969.50 = 8,197,969.50 : x
  2. Step 2: Convert to fraction form
    6,285,438/8,197,969.50 = 8,197,969.50/x
  3. Step 3: Cross multiply
    6,285,438x = 8,197,969.50 × 8,197,969.50
  4. Step 4: Simplify right side
    6,285,438x = 67,206,703,922,930.25
  5. Step 5: Solve for x
    x = 67,206,703,922,930.25/6,285,438
  6. Step 6: Final answer
    x = 10,692,445.61

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.