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Finding the Third Proportional to 9,661,164 and 14,442,162

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Solution

The third proportional to 9,661,164 and 14,442,162 is: 21,589,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661,164 : 14,442,162 = 14,442,162 : x
  2. Step 2: Convert to fraction form
    9,661,164/14,442,162 = 14,442,162/x
  3. Step 3: Cross multiply
    9,661,164x = 14,442,162 × 14,442,162
  4. Step 4: Simplify right side
    9,661,164x = 208,576,043,234,244
  5. Step 5: Solve for x
    x = 208,576,043,234,244/9,661,164
  6. Step 6: Final answer
    x = 21,589,121.48

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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.