Finding the Third Proportional to 404,873,265,524 and 843,257,652,103
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Solution
The third proportional to 404,873,265,524 and 843,257,652,103 is: 1,756,311,242,012.87
Step by Step Solution
- Step 1: Write the proportion equation
404,873,265,524 : 843,257,652,103 = 843,257,652,103 : x - Step 2: Convert to fraction form
404,873,265,524/843,257,652,103 = 843,257,652,103/x - Step 3: Cross multiply
404,873,265,524x = 843,257,652,103 × 843,257,652,103 - Step 4: Simplify right side
404,873,265,524x = 711,083,467,830,264,122,572,800 - Step 5: Solve for x
x = 711,083,467,830,264,122,572,800/404,873,265,524 - Step 6: Final answer
x = 1,756,311,242,012.87
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.