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Finding the Third Proportional to 3,541,942,888 and 7,751,113,231

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Solution

The third proportional to 3,541,942,888 and 7,751,113,231 is: 16,962,372,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541,942,888 : 7,751,113,231 = 7,751,113,231 : x
  2. Step 2: Convert to fraction form
    3,541,942,888/7,751,113,231 = 7,751,113,231/x
  3. Step 3: Cross multiply
    3,541,942,888x = 7,751,113,231 × 7,751,113,231
  4. Step 4: Simplify right side
    3,541,942,888x = 60,079,756,319,783,256,064
  5. Step 5: Solve for x
    x = 60,079,756,319,783,256,064/3,541,942,888
  6. Step 6: Final answer
    x = 16,962,372,974.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.