Finding the Third Proportional to 100,953,006,032 and 218,024,763,680
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Solution
The third proportional to 100,953,006,032 and 218,024,763,680 is: 470,860,645,423.99
Step by Step Solution
- Step 1: Write the proportion equation
100,953,006,032 : 218,024,763,680 = 218,024,763,680 : x - Step 2: Convert to fraction form
100,953,006,032/218,024,763,680 = 218,024,763,680/x - Step 3: Cross multiply
100,953,006,032x = 218,024,763,680 × 218,024,763,680 - Step 4: Simplify right side
100,953,006,032x = 47,534,797,577,719,843,389,440 - Step 5: Solve for x
x = 47,534,797,577,719,843,389,440/100,953,006,032 - Step 6: Final answer
x = 470,860,645,423.99
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.