Finding the Third Proportional to 644,178,354,474 and 1,401,455,200,499.20
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Solution
The third proportional to 644,178,354,474 and 1,401,455,200,499.20 is: 3,048,964,103,443.07
Step by Step Solution
- Step 1: Write the proportion equation
644,178,354,474 : 1,401,455,200,499.20 = 1,401,455,200,499.20 : x - Step 2: Convert to fraction form
644,178,354,474/1,401,455,200,499.20 = 1,401,455,200,499.20/x - Step 3: Cross multiply
644,178,354,474x = 1,401,455,200,499.20 × 1,401,455,200,499.20 - Step 4: Simplify right side
644,178,354,474x = 1,964,076,679,006,252,672,483,328 - Step 5: Solve for x
x = 1,964,076,679,006,252,672,483,328/644,178,354,474 - Step 6: Final answer
x = 3,048,964,103,443.07
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.