Finding the Third Proportional to 235,664,849,750 and 516,955,628,330
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Solution
The third proportional to 235,664,849,750 and 516,955,628,330 is: 1,133,996,529,162.34
Step by Step Solution
- Step 1: Write the proportion equation
235,664,849,750 : 516,955,628,330 = 516,955,628,330 : x - Step 2: Convert to fraction form
235,664,849,750/516,955,628,330 = 516,955,628,330/x - Step 3: Cross multiply
235,664,849,750x = 516,955,628,330 × 516,955,628,330 - Step 4: Simplify right side
235,664,849,750x = 267,243,121,662,065,104,650,240 - Step 5: Solve for x
x = 267,243,121,662,065,104,650,240/235,664,849,750 - Step 6: Final answer
x = 1,133,996,529,162.34
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.