Finding the Third Proportional to 562,308,633,112 and 856,619,103,864
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Solution
The third proportional to 562,308,633,112 and 856,619,103,864 is: 1,304,970,697,397.43
Step by Step Solution
- Step 1: Write the proportion equation
562,308,633,112 : 856,619,103,864 = 856,619,103,864 : x - Step 2: Convert to fraction form
562,308,633,112/856,619,103,864 = 856,619,103,864/x - Step 3: Cross multiply
562,308,633,112x = 856,619,103,864 × 856,619,103,864 - Step 4: Simplify right side
562,308,633,112x = 733,796,289,104,762,453,884,928 - Step 5: Solve for x
x = 733,796,289,104,762,453,884,928/562,308,633,112 - Step 6: Final answer
x = 1,304,970,697,397.43
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.