Finding the Third Proportional to 236,764,771,920 and 342,084,208,824
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Solution
The third proportional to 236,764,771,920 and 342,084,208,824 is: 494,252,607,673.76
Step by Step Solution
- Step 1: Write the proportion equation
236,764,771,920 : 342,084,208,824 = 342,084,208,824 : x - Step 2: Convert to fraction form
236,764,771,920/342,084,208,824 = 342,084,208,824/x - Step 3: Cross multiply
236,764,771,920x = 342,084,208,824 × 342,084,208,824 - Step 4: Simplify right side
236,764,771,920x = 117,021,605,926,742,047,850,496 - Step 5: Solve for x
x = 117,021,605,926,742,047,850,496/236,764,771,920 - Step 6: Final answer
x = 494,252,607,673.76
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.