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Finding the Third Proportional to 46,072,797,144 and 68,807,284,728

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Solution

The third proportional to 46,072,797,144 and 68,807,284,728 is: 102,760,039,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,072,797,144 : 68,807,284,728 = 68,807,284,728 : x
  2. Step 2: Convert to fraction form
    46,072,797,144/68,807,284,728 = 68,807,284,728/x
  3. Step 3: Cross multiply
    46,072,797,144x = 68,807,284,728 × 68,807,284,728
  4. Step 4: Simplify right side
    46,072,797,144x = 4,734,442,431,640,061,870,080
  5. Step 5: Solve for x
    x = 4,734,442,431,640,061,870,080/46,072,797,144
  6. Step 6: Final answer
    x = 102,760,039,006.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.