Finding the Third Proportional to 901,204,509,783 and 1,909,853,635,182
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Solution
The third proportional to 901,204,509,783 and 1,909,853,635,182 is: 4,047,406,408,004.09
Step by Step Solution
- Step 1: Write the proportion equation
901,204,509,783 : 1,909,853,635,182 = 1,909,853,635,182 : x - Step 2: Convert to fraction form
901,204,509,783/1,909,853,635,182 = 1,909,853,635,182/x - Step 3: Cross multiply
901,204,509,783x = 1,909,853,635,182 × 1,909,853,635,182 - Step 4: Simplify right side
901,204,509,783x = 3,647,540,907,817,900,091,375,616 - Step 5: Solve for x
x = 3,647,540,907,817,900,091,375,616/901,204,509,783 - Step 6: Final answer
x = 4,047,406,408,004.09
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.