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Finding the Third Proportional to 3,073,245,968 and 6,612,606,274

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Solution

The third proportional to 3,073,245,968 and 6,612,606,274 is: 14,228,136,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073,245,968 : 6,612,606,274 = 6,612,606,274 : x
  2. Step 2: Convert to fraction form
    3,073,245,968/6,612,606,274 = 6,612,606,274/x
  3. Step 3: Cross multiply
    3,073,245,968x = 6,612,606,274 × 6,612,606,274
  4. Step 4: Simplify right side
    3,073,245,968x = 43,726,561,734,944,161,792
  5. Step 5: Solve for x
    x = 43,726,561,734,944,161,792/3,073,245,968
  6. Step 6: Final answer
    x = 14,228,136,045.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.