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Finding the Third Proportional to 4,901,910,593,664 and 10,727,237,922,978

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Solution

The third proportional to 4,901,910,593,664 and 10,727,237,922,978 is: 23,475,261,585,741

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901,910,593,664 : 10,727,237,922,978 = 10,727,237,922,978 : x
  2. Step 2: Convert to fraction form
    4,901,910,593,664/10,727,237,922,978 = 10,727,237,922,978/x
  3. Step 3: Cross multiply
    4,901,910,593,664x = 10,727,237,922,978 × 10,727,237,922,978
  4. Step 4: Simplify right side
    4,901,910,593,664x = 115,073,633,456,177,355,465,687,040
  5. Step 5: Solve for x
    x = 115,073,633,456,177,355,465,687,040/4,901,910,593,664
  6. Step 6: Final answer
    x = 23,475,261,585,741

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.