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Finding the Third Proportional to 6,990,400.50 and 9,444,466.50

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Solution

The third proportional to 6,990,400.50 and 9,444,466.50 is: 12,760,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990,400.50 : 9,444,466.50 = 9,444,466.50 : x
  2. Step 2: Convert to fraction form
    6,990,400.50/9,444,466.50 = 9,444,466.50/x
  3. Step 3: Cross multiply
    6,990,400.50x = 9,444,466.50 × 9,444,466.50
  4. Step 4: Simplify right side
    6,990,400.50x = 89,197,947,469,622.25
  5. Step 5: Solve for x
    x = 89,197,947,469,622.25/6,990,400.50
  6. Step 6: Final answer
    x = 12,760,062.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.