Finding the Third Proportional to 532,276,304.75 and 1,164,894,493.75
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Solution
The third proportional to 532,276,304.75 and 1,164,894,493.75 is: 2,549,388,671.75
Step by Step Solution
- Step 1: Write the proportion equation
532,276,304.75 : 1,164,894,493.75 = 1,164,894,493.75 : x - Step 2: Convert to fraction form
532,276,304.75/1,164,894,493.75 = 1,164,894,493.75/x - Step 3: Cross multiply
532,276,304.75x = 1,164,894,493.75 × 1,164,894,493.75 - Step 4: Simplify right side
532,276,304.75x = 1,356,979,181,569,068,800 - Step 5: Solve for x
x = 1,356,979,181,569,068,800/532,276,304.75 - Step 6: Final answer
x = 2,549,388,671.75
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.