Finding the Third Proportional to 843,301,047,136 and 1,284,710,812,804
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Solution
The third proportional to 843,301,047,136 and 1,284,710,812,804 is: 1,957,168,057,766.37
Step by Step Solution
- Step 1: Write the proportion equation
843,301,047,136 : 1,284,710,812,804 = 1,284,710,812,804 : x - Step 2: Convert to fraction form
843,301,047,136/1,284,710,812,804 = 1,284,710,812,804/x - Step 3: Cross multiply
843,301,047,136x = 1,284,710,812,804 × 1,284,710,812,804 - Step 4: Simplify right side
843,301,047,136x = 1,650,481,872,535,514,335,150,080 - Step 5: Solve for x
x = 1,650,481,872,535,514,335,150,080/843,301,047,136 - Step 6: Final answer
x = 1,957,168,057,766.37
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.