Finding the Third Proportional to 24,771,137,418,996 and 34,442,286,554,478
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Solution
The third proportional to 24,771,137,418,996 and 34,442,286,554,478 is: 47,889,246,385,233.48
Step by Step Solution
- Step 1: Write the proportion equation
24,771,137,418,996 : 34,442,286,554,478 = 34,442,286,554,478 : x - Step 2: Convert to fraction form
24,771,137,418,996/34,442,286,554,478 = 34,442,286,554,478/x - Step 3: Cross multiply
24,771,137,418,996x = 34,442,286,554,478 × 34,442,286,554,478 - Step 4: Simplify right side
24,771,137,418,996x = 1,186,271,103,100,776,000,662,798,336 - Step 5: Solve for x
x = 1,186,271,103,100,776,000,662,798,336/24,771,137,418,996 - Step 6: Final answer
x = 47,889,246,385,233.48
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Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.