Finding the Third Proportional to 524,775,782.25 and 1,214,889,135.75
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Solution
The third proportional to 524,775,782.25 and 1,214,889,135.75 is: 2,812,545,208.99
Step by Step Solution
- Step 1: Write the proportion equation
524,775,782.25 : 1,214,889,135.75 = 1,214,889,135.75 : x - Step 2: Convert to fraction form
524,775,782.25/1,214,889,135.75 = 1,214,889,135.75/x - Step 3: Cross multiply
524,775,782.25x = 1,214,889,135.75 × 1,214,889,135.75 - Step 4: Simplify right side
524,775,782.25x = 1,475,955,612,163,382,016 - Step 5: Solve for x
x = 1,475,955,612,163,382,016/524,775,782.25 - Step 6: Final answer
x = 2,812,545,208.99
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.