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Finding the Third Proportional to 308,111,632,728 and 670,922,185,512

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Solution

The third proportional to 308,111,632,728 and 670,922,185,512 is: 1,460,952,885,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,111,632,728 : 670,922,185,512 = 670,922,185,512 : x
  2. Step 2: Convert to fraction form
    308,111,632,728/670,922,185,512 = 670,922,185,512/x
  3. Step 3: Cross multiply
    308,111,632,728x = 670,922,185,512 × 670,922,185,512
  4. Step 4: Simplify right side
    308,111,632,728x = 450,136,579,012,198,523,731,968
  5. Step 5: Solve for x
    x = 450,136,579,012,198,523,731,968/308,111,632,728
  6. Step 6: Final answer
    x = 1,460,952,885,896.32

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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.