Finding the Third Proportional to 399,058,770,900 and 868,367,978,664
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Solution
The third proportional to 399,058,770,900 and 868,367,978,664 is: 1,889,603,740,993.73
Step by Step Solution
- Step 1: Write the proportion equation
399,058,770,900 : 868,367,978,664 = 868,367,978,664 : x - Step 2: Convert to fraction form
399,058,770,900/868,367,978,664 = 868,367,978,664/x - Step 3: Cross multiply
399,058,770,900x = 868,367,978,664 × 868,367,978,664 - Step 4: Simplify right side
399,058,770,900x = 754,062,946,369,001,125,576,704 - Step 5: Solve for x
x = 754,062,946,369,001,125,576,704/399,058,770,900 - Step 6: Final answer
x = 1,889,603,740,993.73
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.