Finding the Third Proportional to 10,966,120,284 and 16,706,301,540
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Solution
The third proportional to 10,966,120,284 and 16,706,301,540 is: 25,451,162,664.40
Step by Step Solution
- Step 1: Write the proportion equation
10,966,120,284 : 16,706,301,540 = 16,706,301,540 : x - Step 2: Convert to fraction form
10,966,120,284/16,706,301,540 = 16,706,301,540/x - Step 3: Cross multiply
10,966,120,284x = 16,706,301,540 × 16,706,301,540 - Step 4: Simplify right side
10,966,120,284x = 279,100,511,145,406,365,696 - Step 5: Solve for x
x = 279,100,511,145,406,365,696/10,966,120,284 - Step 6: Final answer
x = 25,451,162,664.40
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.