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Finding the Third Proportional to 23,011,745,624,760 and 50,074,485,468,368

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Solution

The third proportional to 23,011,745,624,760 and 50,074,485,468,368 is: 108,964,097,544,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,011,745,624,760 : 50,074,485,468,368 = 50,074,485,468,368 : x
  2. Step 2: Convert to fraction form
    23,011,745,624,760/50,074,485,468,368 = 50,074,485,468,368/x
  3. Step 3: Cross multiply
    23,011,745,624,760x = 50,074,485,468,368 × 50,074,485,468,368
  4. Step 4: Simplify right side
    23,011,745,624,760x = 2,507,454,094,921,798,147,737,911,296
  5. Step 5: Solve for x
    x = 2,507,454,094,921,798,147,737,911,296/23,011,745,624,760
  6. Step 6: Final answer
    x = 108,964,097,544,336.11

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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.