Finding the Third Proportional to 442,179,640 and 946,475,002
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Solution
The third proportional to 442,179,640 and 946,475,002 is: 2,025,907,229.49
Step by Step Solution
- Step 1: Write the proportion equation
442,179,640 : 946,475,002 = 946,475,002 : x - Step 2: Convert to fraction form
442,179,640/946,475,002 = 946,475,002/x - Step 3: Cross multiply
442,179,640x = 946,475,002 × 946,475,002 - Step 4: Simplify right side
442,179,640x = 895,814,929,410,899,968 - Step 5: Solve for x
x = 895,814,929,410,899,968/442,179,640 - Step 6: Final answer
x = 2,025,907,229.49
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.