Carrying information from one shapefile to another based on location using ArcMap

I am a R user but I couldn’t do this on R and decided it might be easier on ArcMap but I don’t know how to use it that well.

I have two shapefiles for same county, one of them has 360 features but attached to a long distance of a road, other one 7345 features but short roads. Example; let’s say there is a major artery speed limit range 30-55 in 10 miles. So they separated this road 25 pieces in one shapefile, other one has the volume of road for 10 miles there is only one feature.

Line1
class       : SpatialLinesDataFrame 
features    : 7162 
extent      : -84.70612, -83.98041, 30.27399, 30.68428  (xmin, xmax, ymin, ymax)
crs         : +proj=longlat +datum=WGS84 +no_defs +ellps=WGS84 +towgs84=0,0,0 
variables   : 52

Line2
class       : SpatialLinesDataFrame 
features    : 376 
extent      : 143516.4, 213981, 3353367, 3399153  (xmin, xmax, ymin, ymax)
crs         : +proj=utm +zone=17 +datum=NAD83 +units=m +no_defs +ellps=GRS80 +towgs84=0,0,0 
variables   : 22


LineMerged
class       : SpatialLinesDataFrame 
features    : 7538
extent      : 143511.3, 214019.4, 3353367, 3399153  (xmin, xmax, ymin, ymax)
crs         : +proj=utm +zone=17 +datum=NAD83 +units=m +no_defs +ellps=GRS80 +towgs84=0,0,0 
variables   : 75

I want to combine these two files, they have different proj4.

I merged them on ArcMap, I have 7538 features and uses Line2. but volume is only available 376 location when I read it on R.

Is there a way carry information on Line2 to Line1 since it has more features and speed changes on a lot of locations but volume is same. if i can add volume in that location, would be amazing.

Getting information from one shapefile to another using QGIS is not helping me.