Finding the Third Proportional to 20,993,633,120 and 46,266,437,184
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Solution
The third proportional to 20,993,633,120 and 46,266,437,184 is: 101,963,447,558.86
Step by Step Solution
- Step 1: Write the proportion equation
20,993,633,120 : 46,266,437,184 = 46,266,437,184 : x - Step 2: Convert to fraction form
20,993,633,120/46,266,437,184 = 46,266,437,184/x - Step 3: Cross multiply
20,993,633,120x = 46,266,437,184 × 46,266,437,184 - Step 4: Simplify right side
20,993,633,120x = 2,140,583,209,701,017,911,296 - Step 5: Solve for x
x = 2,140,583,209,701,017,911,296/20,993,633,120 - Step 6: Final answer
x = 101,963,447,558.86
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.