Finding the Third Proportional to 34,813,681,378,650 and 74,517,857,683,158
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Solution
The third proportional to 34,813,681,378,650 and 74,517,857,683,158 is: 159,503,703,538,023.22
Step by Step Solution
- Step 1: Write the proportion equation
34,813,681,378,650 : 74,517,857,683,158 = 74,517,857,683,158 : x - Step 2: Convert to fraction form
34,813,681,378,650/74,517,857,683,158 = 74,517,857,683,158/x - Step 3: Cross multiply
34,813,681,378,650x = 74,517,857,683,158 × 74,517,857,683,158 - Step 4: Simplify right side
34,813,681,378,650x = 5,552,911,113,687,389,364,568,457,216 - Step 5: Solve for x
x = 5,552,911,113,687,389,364,568,457,216/34,813,681,378,650 - Step 6: Final answer
x = 159,503,703,538,023.22
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.