Finding the Third Proportional to 274,076,187,246 and 418,991,811,129
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Solution
The third proportional to 274,076,187,246 and 418,991,811,129 is: 640,530,428,991.95
Step by Step Solution
- Step 1: Write the proportion equation
274,076,187,246 : 418,991,811,129 = 418,991,811,129 : x - Step 2: Convert to fraction form
274,076,187,246/418,991,811,129 = 418,991,811,129/x - Step 3: Cross multiply
274,076,187,246x = 418,991,811,129 × 418,991,811,129 - Step 4: Simplify right side
274,076,187,246x = 175,554,137,793,159,596,343,296 - Step 5: Solve for x
x = 175,554,137,793,159,596,343,296/274,076,187,246 - Step 6: Final answer
x = 640,530,428,991.95
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.