Finding the Third Proportional to 281,326,067,541.57 and 379,574,918,938.12
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Solution
The third proportional to 281,326,067,541.57 and 379,574,918,938.12 is: 512,135,687,765.91
Step by Step Solution
- Step 1: Write the proportion equation
281,326,067,541.57 : 379,574,918,938.12 = 379,574,918,938.12 : x - Step 2: Convert to fraction form
281,326,067,541.57/379,574,918,938.12 = 379,574,918,938.12/x - Step 3: Cross multiply
281,326,067,541.57x = 379,574,918,938.12 × 379,574,918,938.12 - Step 4: Simplify right side
281,326,067,541.57x = 144,077,119,086,880,370,982,912 - Step 5: Solve for x
x = 144,077,119,086,880,370,982,912/281,326,067,541.57 - Step 6: Final answer
x = 512,135,687,765.91
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.