Finding the Third Proportional to 19,816,141,827,904 and 40,197,316,386,978
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Solution
The third proportional to 19,816,141,827,904 and 40,197,316,386,978 is: 81,540,809,444,525.44
Step by Step Solution
- Step 1: Write the proportion equation
19,816,141,827,904 : 40,197,316,386,978 = 40,197,316,386,978 : x - Step 2: Convert to fraction form
19,816,141,827,904/40,197,316,386,978 = 40,197,316,386,978/x - Step 3: Cross multiply
19,816,141,827,904x = 40,197,316,386,978 × 40,197,316,386,978 - Step 4: Simplify right side
19,816,141,827,904x = 1,615,824,244,714,810,123,728,453,632 - Step 5: Solve for x
x = 1,615,824,244,714,810,123,728,453,632/19,816,141,827,904 - Step 6: Final answer
x = 81,540,809,444,525.44
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.