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Finding the Third Proportional to 67,526,943,014 and 143,787,469,316

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Solution

The third proportional to 67,526,943,014 and 143,787,469,316 is: 306,171,661,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,526,943,014 : 143,787,469,316 = 143,787,469,316 : x
  2. Step 2: Convert to fraction form
    67,526,943,014/143,787,469,316 = 143,787,469,316/x
  3. Step 3: Cross multiply
    67,526,943,014x = 143,787,469,316 × 143,787,469,316
  4. Step 4: Simplify right side
    67,526,943,014x = 20,674,836,332,299,639,848,960
  5. Step 5: Solve for x
    x = 20,674,836,332,299,639,848,960/67,526,943,014
  6. Step 6: Final answer
    x = 306,171,661,406.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.