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Finding the Third Proportional to 6,503,682 and 9,661,191

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Solution

The third proportional to 6,503,682 and 9,661,191 is: 14,351,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503,682 : 9,661,191 = 9,661,191 : x
  2. Step 2: Convert to fraction form
    6,503,682/9,661,191 = 9,661,191/x
  3. Step 3: Cross multiply
    6,503,682x = 9,661,191 × 9,661,191
  4. Step 4: Simplify right side
    6,503,682x = 93,338,611,538,481
  5. Step 5: Solve for x
    x = 93,338,611,538,481/6,503,682
  6. Step 6: Final answer
    x = 14,351,656.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.