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Finding the Third Proportional to 23,011,745,624,664 and 50,074,485,468,168

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Solution

The third proportional to 23,011,745,624,664 and 50,074,485,468,168 is: 108,964,097,543,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,011,745,624,664 : 50,074,485,468,168 = 50,074,485,468,168 : x
  2. Step 2: Convert to fraction form
    23,011,745,624,664/50,074,485,468,168 = 50,074,485,468,168/x
  3. Step 3: Cross multiply
    23,011,745,624,664x = 50,074,485,468,168 × 50,074,485,468,168
  4. Step 4: Simplify right side
    23,011,745,624,664x = 2,507,454,094,901,768,344,414,715,904
  5. Step 5: Solve for x
    x = 2,507,454,094,901,768,344,414,715,904/23,011,745,624,664
  6. Step 6: Final answer
    x = 108,964,097,543,920.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.