Finding the Third Proportional to 644,178,354,450 and 1,401,455,200,452
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Solution
The third proportional to 644,178,354,450 and 1,401,455,200,452 is: 3,048,964,103,351.29
Step by Step Solution
- Step 1: Write the proportion equation
644,178,354,450 : 1,401,455,200,452 = 1,401,455,200,452 : x - Step 2: Convert to fraction form
644,178,354,450/1,401,455,200,452 = 1,401,455,200,452/x - Step 3: Cross multiply
644,178,354,450x = 1,401,455,200,452 × 1,401,455,200,452 - Step 4: Simplify right side
644,178,354,450x = 1,964,076,678,873,955,600,171,008 - Step 5: Solve for x
x = 1,964,076,678,873,955,600,171,008/644,178,354,450 - Step 6: Final answer
x = 3,048,964,103,351.29
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.