Finding the Third Proportional to 612,576,256 and 1,344,175,856
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Solution
The third proportional to 612,576,256 and 1,344,175,856 is: 2,949,524,592.50
Step by Step Solution
- Step 1: Write the proportion equation
612,576,256 : 1,344,175,856 = 1,344,175,856 : x - Step 2: Convert to fraction form
612,576,256/1,344,175,856 = 1,344,175,856/x - Step 3: Cross multiply
612,576,256x = 1,344,175,856 × 1,344,175,856 - Step 4: Simplify right side
612,576,256x = 1,806,808,731,853,332,736 - Step 5: Solve for x
x = 1,806,808,731,853,332,736/612,576,256 - Step 6: Final answer
x = 2,949,524,592.50
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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.