Finding the Third Proportional to 982,268,068,486 and 2,137,501,375,168
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Solution
The third proportional to 982,268,068,486 and 2,137,501,375,168 is: 4,651,390,262,423.27
Step by Step Solution
- Step 1: Write the proportion equation
982,268,068,486 : 2,137,501,375,168 = 2,137,501,375,168 : x - Step 2: Convert to fraction form
982,268,068,486/2,137,501,375,168 = 2,137,501,375,168/x - Step 3: Cross multiply
982,268,068,486x = 2,137,501,375,168 × 2,137,501,375,168 - Step 4: Simplify right side
982,268,068,486x = 4,568,912,128,845,090,943,664,128 - Step 5: Solve for x
x = 4,568,912,128,845,090,943,664,128/982,268,068,486 - Step 6: Final answer
x = 4,651,390,262,423.27
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.