Finding the Third Proportional to 794,797,789,228 and 1,733,445,613,712
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Solution
The third proportional to 794,797,789,228 and 1,733,445,613,712 is: 3,780,626,640,413.80
Step by Step Solution
- Step 1: Write the proportion equation
794,797,789,228 : 1,733,445,613,712 = 1,733,445,613,712 : x - Step 2: Convert to fraction form
794,797,789,228/1,733,445,613,712 = 1,733,445,613,712/x - Step 3: Cross multiply
794,797,789,228x = 1,733,445,613,712 × 1,733,445,613,712 - Step 4: Simplify right side
794,797,789,228x = 3,004,833,695,697,372,216,033,280 - Step 5: Solve for x
x = 3,004,833,695,697,372,216,033,280/794,797,789,228 - Step 6: Final answer
x = 3,780,626,640,413.80
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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.