Finding the Third Proportional to 215,173,859,344 and 470,881,757,120
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Solution
The third proportional to 215,173,859,344 and 470,881,757,120 is: 1,030,467,315,427.65
Step by Step Solution
- Step 1: Write the proportion equation
215,173,859,344 : 470,881,757,120 = 470,881,757,120 : x - Step 2: Convert to fraction form
215,173,859,344/470,881,757,120 = 470,881,757,120/x - Step 3: Cross multiply
215,173,859,344x = 470,881,757,120 × 470,881,757,120 - Step 4: Simplify right side
215,173,859,344x = 221,729,629,188,418,678,292,480 - Step 5: Solve for x
x = 221,729,629,188,418,678,292,480/215,173,859,344 - Step 6: Final answer
x = 1,030,467,315,427.65
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.