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Finding the Third Proportional to 3,073,311,234,794 and 6,833,770,997,959

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Solution

The third proportional to 3,073,311,234,794 and 6,833,770,997,959 is: 15,195,475,656,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073,311,234,794 : 6,833,770,997,959 = 6,833,770,997,959 : x
  2. Step 2: Convert to fraction form
    3,073,311,234,794/6,833,770,997,959 = 6,833,770,997,959/x
  3. Step 3: Cross multiply
    3,073,311,234,794x = 6,833,770,997,959 × 6,833,770,997,959
  4. Step 4: Simplify right side
    3,073,311,234,794x = 46,700,426,052,545,548,084,314,112
  5. Step 5: Solve for x
    x = 46,700,426,052,545,548,084,314,112/3,073,311,234,794
  6. Step 6: Final answer
    x = 15,195,475,656,300.01

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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.