Finding the Third Proportional to 404,715,882,776 and 899,920,460,646
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Solution
The third proportional to 404,715,882,776 and 899,920,460,646 is: 2,001,050,292,205.96
Step by Step Solution
- Step 1: Write the proportion equation
404,715,882,776 : 899,920,460,646 = 899,920,460,646 : x - Step 2: Convert to fraction form
404,715,882,776/899,920,460,646 = 899,920,460,646/x - Step 3: Cross multiply
404,715,882,776x = 899,920,460,646 × 899,920,460,646 - Step 4: Simplify right side
404,715,882,776x = 809,856,835,489,308,822,470,656 - Step 5: Solve for x
x = 809,856,835,489,308,822,470,656/404,715,882,776 - Step 6: Final answer
x = 2,001,050,292,205.96
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.