Finding the Third Proportional to 574,650,498,264 and 808,207,478,688
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Solution
The third proportional to 574,650,498,264 and 808,207,478,688 is: 1,136,689,745,472.26
Step by Step Solution
- Step 1: Write the proportion equation
574,650,498,264 : 808,207,478,688 = 808,207,478,688 : x - Step 2: Convert to fraction form
574,650,498,264/808,207,478,688 = 808,207,478,688/x - Step 3: Cross multiply
574,650,498,264x = 808,207,478,688 × 808,207,478,688 - Step 4: Simplify right side
574,650,498,264x = 653,199,328,607,213,967,114,240 - Step 5: Solve for x
x = 653,199,328,607,213,967,114,240/574,650,498,264 - Step 6: Final answer
x = 1,136,689,745,472.26
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.