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Finding the Third Proportional to 3,073,311,234,792 and 6,833,770,997,955

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Solution

The third proportional to 3,073,311,234,792 and 6,833,770,997,955 is: 15,195,475,656,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073,311,234,792 : 6,833,770,997,955 = 6,833,770,997,955 : x
  2. Step 2: Convert to fraction form
    3,073,311,234,792/6,833,770,997,955 = 6,833,770,997,955/x
  3. Step 3: Cross multiply
    3,073,311,234,792x = 6,833,770,997,955 × 6,833,770,997,955
  4. Step 4: Simplify right side
    3,073,311,234,792x = 46,700,426,052,490,873,150,636,032
  5. Step 5: Solve for x
    x = 46,700,426,052,490,873,150,636,032/3,073,311,234,792
  6. Step 6: Final answer
    x = 15,195,475,656,292.11

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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.