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Finding the Third Proportional to 3,052,343,366 and 6,611,770,706

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Solution

The third proportional to 3,052,343,366 and 6,611,770,706 is: 14,321,950,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052,343,366 : 6,611,770,706 = 6,611,770,706 : x
  2. Step 2: Convert to fraction form
    3,052,343,366/6,611,770,706 = 6,611,770,706/x
  3. Step 3: Cross multiply
    3,052,343,366x = 6,611,770,706 × 6,611,770,706
  4. Step 4: Simplify right side
    3,052,343,366x = 43,715,511,868,719,734,784
  5. Step 5: Solve for x
    x = 43,715,511,868,719,734,784/3,052,343,366
  6. Step 6: Final answer
    x = 14,321,950,916.68

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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.