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Finding the Third Proportional to 3,052,343,470 and 6,611,770,916

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Solution

The third proportional to 3,052,343,470 and 6,611,770,916 is: 14,321,951,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052,343,470 : 6,611,770,916 = 6,611,770,916 : x
  2. Step 2: Convert to fraction form
    3,052,343,470/6,611,770,916 = 6,611,770,916/x
  3. Step 3: Cross multiply
    3,052,343,470x = 6,611,770,916 × 6,611,770,916
  4. Step 4: Simplify right side
    3,052,343,470x = 43,715,514,645,663,481,856
  5. Step 5: Solve for x
    x = 43,715,514,645,663,481,856/3,052,343,470
  6. Step 6: Final answer
    x = 14,321,951,338.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.