Finding the Third Proportional to 13,492,816,754,368 and 20,555,373,005,268
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Solution
The third proportional to 13,492,816,754,368 and 20,555,373,005,268 is: 31,314,688,925,047.31
Step by Step Solution
- Step 1: Write the proportion equation
13,492,816,754,368 : 20,555,373,005,268 = 20,555,373,005,268 : x - Step 2: Convert to fraction form
13,492,816,754,368/20,555,373,005,268 = 20,555,373,005,268/x - Step 3: Cross multiply
13,492,816,754,368x = 20,555,373,005,268 × 20,555,373,005,268 - Step 4: Simplify right side
13,492,816,754,368x = 422,523,359,385,700,411,411,267,584 - Step 5: Solve for x
x = 422,523,359,385,700,411,411,267,584/13,492,816,754,368 - Step 6: Final answer
x = 31,314,688,925,047.31
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.