Finding the Third Proportional to 821,716,020 and 1,672,129,764
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Solution
The third proportional to 821,716,020 and 1,672,129,764 is: 3,402,657,219.28
Step by Step Solution
- Step 1: Write the proportion equation
821,716,020 : 1,672,129,764 = 1,672,129,764 : x - Step 2: Convert to fraction form
821,716,020/1,672,129,764 = 1,672,129,764/x - Step 3: Cross multiply
821,716,020x = 1,672,129,764 × 1,672,129,764 - Step 4: Simplify right side
821,716,020x = 2,796,017,947,654,695,936 - Step 5: Solve for x
x = 2,796,017,947,654,695,936/821,716,020 - Step 6: Final answer
x = 3,402,657,219.28
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.