Finding the Third Proportional to 798,128,738,811 and 1,652,831,635,053
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Solution
The third proportional to 798,128,738,811 and 1,652,831,635,053 is: 3,422,821,759,183.50
Step by Step Solution
- Step 1: Write the proportion equation
798,128,738,811 : 1,652,831,635,053 = 1,652,831,635,053 : x - Step 2: Convert to fraction form
798,128,738,811/1,652,831,635,053 = 1,652,831,635,053/x - Step 3: Cross multiply
798,128,738,811x = 1,652,831,635,053 × 1,652,831,635,053 - Step 4: Simplify right side
798,128,738,811x = 2,731,852,413,831,973,250,793,472 - Step 5: Solve for x
x = 2,731,852,413,831,973,250,793,472/798,128,738,811 - Step 6: Final answer
x = 3,422,821,759,183.50
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.