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Finding the Third Proportional to 6,908,576 and 10,836,165

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Solution

The third proportional to 6,908,576 and 10,836,165 is: 16,996,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908,576 : 10,836,165 = 10,836,165 : x
  2. Step 2: Convert to fraction form
    6,908,576/10,836,165 = 10,836,165/x
  3. Step 3: Cross multiply
    6,908,576x = 10,836,165 × 10,836,165
  4. Step 4: Simplify right side
    6,908,576x = 117,422,471,907,225
  5. Step 5: Solve for x
    x = 117,422,471,907,225/6,908,576
  6. Step 6: Final answer
    x = 16,996,624.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.