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Finding the Third Proportional to 3,073,311,234,793 and 6,833,770,997,957

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Solution

The third proportional to 3,073,311,234,793 and 6,833,770,997,957 is: 15,195,475,656,296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073,311,234,793 : 6,833,770,997,957 = 6,833,770,997,957 : x
  2. Step 2: Convert to fraction form
    3,073,311,234,793/6,833,770,997,957 = 6,833,770,997,957/x
  3. Step 3: Cross multiply
    3,073,311,234,793x = 6,833,770,997,957 × 6,833,770,997,957
  4. Step 4: Simplify right side
    3,073,311,234,793x = 46,700,426,052,518,214,912,442,368
  5. Step 5: Solve for x
    x = 46,700,426,052,518,214,912,442,368/3,073,311,234,793
  6. Step 6: Final answer
    x = 15,195,475,656,296.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.