To solve this problem, let’s use the given conversion factors to convert the distances for each celestial object into different, but equivalent, units.
### Step-by-step Solution:
Distance to object A:
Given:
- Distance in parsecs (pc): 0.000001877 pc
Conversion factor:
- 1 parsec = 31 trillion kilometers (31 \times 10^{12} km)
- 1 parsec ≈ 3.262 light-years (ly)
Using the conversion factor to convert parsecs to kilometers:
- Distance in kilometers = 0.000001877 pc \times 31 \times 10^{12} km/pc
- Distance in kilometers = 58,187,000.0 km
Using the conversion factor to convert parsecs to light-years:
- Distance in light-years = 0.000001877 pc \times 3.262 ly/pc
- Distance in light-years = 6.122774e-06 ly
So the distances to object A are:
- 58,187,000.0 km
- 6.122774e-06 ly
Distance to object B:
Given:
- Distance in Astronomical Units (AU): 30.06 AU
Conversion factor:
- 1 AU = 1.5 \times 10^8 km
Using the conversion factor to convert AU to kilometers:
- Distance in kilometers = 30.06 AU \times 1.5 \times 10^8 km/AU
- Distance in kilometers = 4,509,000,000.0 km
So the distance to object B is:
- 4,509,000,000.0 km
Distance to object C:
Given:
- Distance in kilometers (km): 778.3 million km, which is 778.3 \times 10^6 km
Conversion factor:
- 1 light-year = 9.5 \times 10^{12} km
Using the conversion factor to convert kilometers to light-years:
- Distance in light-years = 778.3 \times 10^6 km / 9.5 \times 10^{12} km/ly
- Distance in light-years = 8.192631578947369e-05 ly
So the distance to object C is:
- 8.192631578947369e-05 ly
### Pairing Distances to Celestial Objects:
- Distance to object A:
- 58,187,000.0 km
- 6.122774e-06 ly
- Distance to object B:
- 4,509,000,000.0 km
- Distance to object C:
- 8.192631578947369e-05 ly
Hence, we can summarize the pairs as follows:
- Object A: 58,187,000.0 km, 6.122774e-06 ly
- Object B: 4,509,000,000.0 km
- Object C: 8.192631578947369e-05 ly
