Finding the Third Proportional to 1,214,619,574,132 and 2,529,772,495,966
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Solution
The third proportional to 1,214,619,574,132 and 2,529,772,495,966 is: 5,268,932,773,390.78
Step by Step Solution
- Step 1: Write the proportion equation
1,214,619,574,132 : 2,529,772,495,966 = 2,529,772,495,966 : x - Step 2: Convert to fraction form
1,214,619,574,132/2,529,772,495,966 = 2,529,772,495,966/x - Step 3: Cross multiply
1,214,619,574,132x = 2,529,772,495,966 × 2,529,772,495,966 - Step 4: Simplify right side
1,214,619,574,132x = 6,399,748,881,346,045,906,255,872 - Step 5: Solve for x
x = 6,399,748,881,346,045,906,255,872/1,214,619,574,132 - Step 6: Final answer
x = 5,268,932,773,390.78
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.