Finding the Third Proportional to 404,873,188,614 and 843,257,492,946
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Solution
The third proportional to 404,873,188,614 and 843,257,492,946 is: 1,756,310,912,668.29
Step by Step Solution
- Step 1: Write the proportion equation
404,873,188,614 : 843,257,492,946 = 843,257,492,946 : x - Step 2: Convert to fraction form
404,873,188,614/843,257,492,946 = 843,257,492,946/x - Step 3: Cross multiply
404,873,188,614x = 843,257,492,946 × 843,257,492,946 - Step 4: Simplify right side
404,873,188,614x = 711,083,199,409,573,280,612,352 - Step 5: Solve for x
x = 711,083,199,409,573,280,612,352/404,873,188,614 - Step 6: Final answer
x = 1,756,310,912,668.29
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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.