Finding the Third Proportional to 827,926,188 and 1,680,180,564
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Solution
The third proportional to 827,926,188 and 1,680,180,564 is: 3,409,732,375.37
Step by Step Solution
- Step 1: Write the proportion equation
827,926,188 : 1,680,180,564 = 1,680,180,564 : x - Step 2: Convert to fraction form
827,926,188/1,680,180,564 = 1,680,180,564/x - Step 3: Cross multiply
827,926,188x = 1,680,180,564 × 1,680,180,564 - Step 4: Simplify right side
827,926,188x = 2,823,006,727,643,358,208 - Step 5: Solve for x
x = 2,823,006,727,643,358,208/827,926,188 - Step 6: Final answer
x = 3,409,732,375.37
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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.