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Finding the Third Proportional to 6,503,670 and 9,661,176

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Solution

The third proportional to 6,503,670 and 9,661,176 is: 14,351,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503,670 : 9,661,176 = 9,661,176 : x
  2. Step 2: Convert to fraction form
    6,503,670/9,661,176 = 9,661,176/x
  3. Step 3: Cross multiply
    6,503,670x = 9,661,176 × 9,661,176
  4. Step 4: Simplify right side
    6,503,670x = 93,338,321,702,976
  5. Step 5: Solve for x
    x = 93,338,321,702,976/6,503,670
  6. Step 6: Final answer
    x = 14,351,638.64

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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.