Finding the Third Proportional to 75,465,312,135 and 161,531,707,278
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Solution
The third proportional to 75,465,312,135 and 161,531,707,278 is: 345,754,780,811.99
Step by Step Solution
- Step 1: Write the proportion equation
75,465,312,135 : 161,531,707,278 = 161,531,707,278 : x - Step 2: Convert to fraction form
75,465,312,135/161,531,707,278 = 161,531,707,278/x - Step 3: Cross multiply
75,465,312,135x = 161,531,707,278 × 161,531,707,278 - Step 4: Simplify right side
75,465,312,135x = 26,092,492,456,145,476,124,672 - Step 5: Solve for x
x = 26,092,492,456,145,476,124,672/75,465,312,135 - Step 6: Final answer
x = 345,754,780,811.99
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.