Finding the Third Proportional to 83,974,529,972 and 185,065,743,592
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Solution
The third proportional to 83,974,529,972 and 185,065,743,592 is: 407,853,779,743.45
Step by Step Solution
- Step 1: Write the proportion equation
83,974,529,972 : 185,065,743,592 = 185,065,743,592 : x - Step 2: Convert to fraction form
83,974,529,972/185,065,743,592 = 185,065,743,592/x - Step 3: Cross multiply
83,974,529,972x = 185,065,743,592 × 185,065,743,592 - Step 4: Simplify right side
83,974,529,972x = 34,249,329,451,259,888,926,720 - Step 5: Solve for x
x = 34,249,329,451,259,888,926,720/83,974,529,972 - Step 6: Final answer
x = 407,853,779,743.45
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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.