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Finding the Third Proportional to 6,560,824 and 9,235,059

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Solution

The third proportional to 6,560,824 and 9,235,059 is: 12,999,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560,824 : 9,235,059 = 9,235,059 : x
  2. Step 2: Convert to fraction form
    6,560,824/9,235,059 = 9,235,059/x
  3. Step 3: Cross multiply
    6,560,824x = 9,235,059 × 9,235,059
  4. Step 4: Simplify right side
    6,560,824x = 85,286,314,733,481
  5. Step 5: Solve for x
    x = 85,286,314,733,481/6,560,824
  6. Step 6: Final answer
    x = 12,999,329.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.