Finding the Third Proportional to 648,528,634,254 and 1,350,735,586,974
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Solution
The third proportional to 648,528,634,254 and 1,350,735,586,974 is: 2,813,270,732,473.82
Step by Step Solution
- Step 1: Write the proportion equation
648,528,634,254 : 1,350,735,586,974 = 1,350,735,586,974 : x - Step 2: Convert to fraction form
648,528,634,254/1,350,735,586,974 = 1,350,735,586,974/x - Step 3: Cross multiply
648,528,634,254x = 1,350,735,586,974 × 1,350,735,586,974 - Step 4: Simplify right side
648,528,634,254x = 1,824,486,625,917,996,302,860,288 - Step 5: Solve for x
x = 1,824,486,625,917,996,302,860,288/648,528,634,254 - Step 6: Final answer
x = 2,813,270,732,473.82
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.