Finding the Third Proportional to 284,369,391,968 and 611,535,399,584
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Solution
The third proportional to 284,369,391,968 and 611,535,399,584 is: 1,315,104,773,956.99
Step by Step Solution
- Step 1: Write the proportion equation
284,369,391,968 : 611,535,399,584 = 611,535,399,584 : x - Step 2: Convert to fraction form
284,369,391,968/611,535,399,584 = 611,535,399,584/x - Step 3: Cross multiply
284,369,391,968x = 611,535,399,584 × 611,535,399,584 - Step 4: Simplify right side
284,369,391,968x = 373,975,544,944,362,531,061,760 - Step 5: Solve for x
x = 373,975,544,944,362,531,061,760/284,369,391,968 - Step 6: Final answer
x = 1,315,104,773,956.99
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.