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Finding the Third Proportional to 6,908,580 and 10,836,171

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Solution

The third proportional to 6,908,580 and 10,836,171 is: 16,996,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908,580 : 10,836,171 = 10,836,171 : x
  2. Step 2: Convert to fraction form
    6,908,580/10,836,171 = 10,836,171/x
  3. Step 3: Cross multiply
    6,908,580x = 10,836,171 × 10,836,171
  4. Step 4: Simplify right side
    6,908,580x = 117,422,601,941,241
  5. Step 5: Solve for x
    x = 117,422,601,941,241/6,908,580
  6. Step 6: Final answer
    x = 16,996,633.45

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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.