Finding the Third Proportional to 302,859,018,062 and 654,074,290,972
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Solution
The third proportional to 302,859,018,062 and 654,074,290,972 is: 1,412,581,936,136.85
Step by Step Solution
- Step 1: Write the proportion equation
302,859,018,062 : 654,074,290,972 = 654,074,290,972 : x - Step 2: Convert to fraction form
302,859,018,062/654,074,290,972 = 654,074,290,972/x - Step 3: Cross multiply
302,859,018,062x = 654,074,290,972 × 654,074,290,972 - Step 4: Simplify right side
302,859,018,062x = 427,813,178,110,524,549,758,976 - Step 5: Solve for x
x = 427,813,178,110,524,549,758,976/302,859,018,062 - Step 6: Final answer
x = 1,412,581,936,136.85
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.