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Finding the Third Proportional to 9,616,129 and 13,750,171

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Solution

The third proportional to 9,616,129 and 13,750,171 is: 19,661,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616,129 : 13,750,171 = 13,750,171 : x
  2. Step 2: Convert to fraction form
    9,616,129/13,750,171 = 13,750,171/x
  3. Step 3: Cross multiply
    9,616,129x = 13,750,171 × 13,750,171
  4. Step 4: Simplify right side
    9,616,129x = 189,067,202,529,241
  5. Step 5: Solve for x
    x = 189,067,202,529,241/9,616,129
  6. Step 6: Final answer
    x = 19,661,466.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.