Finding the Third Proportional to 281,154,316,923 and 428,309,552,346
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Solution
The third proportional to 281,154,316,923 and 428,309,552,346 is: 652,485,349,108.38
Step by Step Solution
- Step 1: Write the proportion equation
281,154,316,923 : 428,309,552,346 = 428,309,552,346 : x - Step 2: Convert to fraction form
281,154,316,923/428,309,552,346 = 428,309,552,346/x - Step 3: Cross multiply
281,154,316,923x = 428,309,552,346 × 428,309,552,346 - Step 4: Simplify right side
281,154,316,923x = 183,449,072,630,830,928,494,592 - Step 5: Solve for x
x = 183,449,072,630,830,928,494,592/281,154,316,923 - Step 6: Final answer
x = 652,485,349,108.38
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.