Finding the Third Proportional to 770,071,694 and 1,681,257,416
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Solution
The third proportional to 770,071,694 and 1,681,257,416 is: 3,670,601,738.62
Step by Step Solution
- Step 1: Write the proportion equation
770,071,694 : 1,681,257,416 = 1,681,257,416 : x - Step 2: Convert to fraction form
770,071,694/1,681,257,416 = 1,681,257,416/x - Step 3: Cross multiply
770,071,694x = 1,681,257,416 × 1,681,257,416 - Step 4: Simplify right side
770,071,694x = 2,826,626,498,854,996,992 - Step 5: Solve for x
x = 2,826,626,498,854,996,992/770,071,694 - Step 6: Final answer
x = 3,670,601,738.62
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.