Finding the Third Proportional to 2,209,157,906 and 3,430,138,803
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Solution
The third proportional to 2,209,157,906 and 3,430,138,803 is: 5,325,944,413.43
Step by Step Solution
- Step 1: Write the proportion equation
2,209,157,906 : 3,430,138,803 = 3,430,138,803 : x - Step 2: Convert to fraction form
2,209,157,906/3,430,138,803 = 3,430,138,803/x - Step 3: Cross multiply
2,209,157,906x = 3,430,138,803 × 3,430,138,803 - Step 4: Simplify right side
2,209,157,906x = 11,765,852,207,846,273,024 - Step 5: Solve for x
x = 11,765,852,207,846,273,024/2,209,157,906 - Step 6: Final answer
x = 5,325,944,413.43
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.