Finding the Third Proportional to 402,715,469,497.50 and 872,460,595,665
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Solution
The third proportional to 402,715,469,497.50 and 872,460,595,665 is: 1,890,137,202,670.46
Step by Step Solution
- Step 1: Write the proportion equation
402,715,469,497.50 : 872,460,595,665 = 872,460,595,665 : x - Step 2: Convert to fraction form
402,715,469,497.50/872,460,595,665 = 872,460,595,665/x - Step 3: Cross multiply
402,715,469,497.50x = 872,460,595,665 × 872,460,595,665 - Step 4: Simplify right side
402,715,469,497.50x = 761,187,490,988,126,556,389,376 - Step 5: Solve for x
x = 761,187,490,988,126,556,389,376/402,715,469,497.50 - Step 6: Final answer
x = 1,890,137,202,670.46
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.