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Finding the Third Proportional to 3,193,880,938 and 6,950,164,722

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Solution

The third proportional to 3,193,880,938 and 6,950,164,722 is: 15,124,167,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,880,938 : 6,950,164,722 = 6,950,164,722 : x
  2. Step 2: Convert to fraction form
    3,193,880,938/6,950,164,722 = 6,950,164,722/x
  3. Step 3: Cross multiply
    3,193,880,938x = 6,950,164,722 × 6,950,164,722
  4. Step 4: Simplify right side
    3,193,880,938x = 48,304,789,662,933,336,064
  5. Step 5: Solve for x
    x = 48,304,789,662,933,336,064/3,193,880,938
  6. Step 6: Final answer
    x = 15,124,167,306.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.