Finding the Third Proportional to 83,974,530,087 and 185,065,743,798
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Solution
The third proportional to 83,974,530,087 and 185,065,743,798 is: 407,853,780,092.89
Step by Step Solution
- Step 1: Write the proportion equation
83,974,530,087 : 185,065,743,798 = 185,065,743,798 : x - Step 2: Convert to fraction form
83,974,530,087/185,065,743,798 = 185,065,743,798/x - Step 3: Cross multiply
83,974,530,087x = 185,065,743,798 × 185,065,743,798 - Step 4: Simplify right side
83,974,530,087x = 34,249,329,527,506,975,326,208 - Step 5: Solve for x
x = 34,249,329,527,506,975,326,208/83,974,530,087 - Step 6: Final answer
x = 407,853,780,092.89
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.