Finding the Third Proportional to 363,498,124 and 782,423,576
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Solution
The third proportional to 363,498,124 and 782,423,576 is: 1,684,153,539.90
Step by Step Solution
- Step 1: Write the proportion equation
363,498,124 : 782,423,576 = 782,423,576 : x - Step 2: Convert to fraction form
363,498,124/782,423,576 = 782,423,576/x - Step 3: Cross multiply
363,498,124x = 782,423,576 × 782,423,576 - Step 4: Simplify right side
363,498,124x = 612,186,652,280,627,712 - Step 5: Solve for x
x = 612,186,652,280,627,712/363,498,124 - Step 6: Final answer
x = 1,684,153,539.90
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.