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Finding the Third Proportional to 67,526,943,018 and 143,787,469,324

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Solution

The third proportional to 67,526,943,018 and 143,787,469,324 is: 306,171,661,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,526,943,018 : 143,787,469,324 = 143,787,469,324 : x
  2. Step 2: Convert to fraction form
    67,526,943,018/143,787,469,324 = 143,787,469,324/x
  3. Step 3: Cross multiply
    67,526,943,018x = 143,787,469,324 × 143,787,469,324
  4. Step 4: Simplify right side
    67,526,943,018x = 20,674,836,334,600,240,758,784
  5. Step 5: Solve for x
    x = 20,674,836,334,600,240,758,784/67,526,943,018
  6. Step 6: Final answer
    x = 306,171,661,422.45

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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.