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Finding the Third Proportional to 49,942,569,231 and 72,158,388,013

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Solution

The third proportional to 49,942,569,231 and 72,158,388,013 is: 104,256,409,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,942,569,231 : 72,158,388,013 = 72,158,388,013 : x
  2. Step 2: Convert to fraction form
    49,942,569,231/72,158,388,013 = 72,158,388,013/x
  3. Step 3: Cross multiply
    49,942,569,231x = 72,158,388,013 × 72,158,388,013
  4. Step 4: Simplify right side
    49,942,569,231x = 5,206,832,960,634,661,896,192
  5. Step 5: Solve for x
    x = 5,206,832,960,634,661,896,192/49,942,569,231
  6. Step 6: Final answer
    x = 104,256,409,728.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.