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Finding the Third Proportional to 3,193,656,568 and 6,989,365,676

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Solution

The third proportional to 3,193,656,568 and 6,989,365,676 is: 15,296,332,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,656,568 : 6,989,365,676 = 6,989,365,676 : x
  2. Step 2: Convert to fraction form
    3,193,656,568/6,989,365,676 = 6,989,365,676/x
  3. Step 3: Cross multiply
    3,193,656,568x = 6,989,365,676 × 6,989,365,676
  4. Step 4: Simplify right side
    3,193,656,568x = 48,851,232,552,846,934,016
  5. Step 5: Solve for x
    x = 48,851,232,552,846,934,016/3,193,656,568
  6. Step 6: Final answer
    x = 15,296,332,436.72

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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.