Finding the Third Proportional to 142,122,449,985 and 316,021,451,331
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Solution
The third proportional to 142,122,449,985 and 316,021,451,331 is: 702,700,788,734.59
Step by Step Solution
- Step 1: Write the proportion equation
142,122,449,985 : 316,021,451,331 = 316,021,451,331 : x - Step 2: Convert to fraction form
142,122,449,985/316,021,451,331 = 316,021,451,331/x - Step 3: Cross multiply
142,122,449,985x = 316,021,451,331 × 316,021,451,331 - Step 4: Simplify right side
142,122,449,985x = 99,869,557,701,351,596,621,824 - Step 5: Solve for x
x = 99,869,557,701,351,596,621,824/142,122,449,985 - Step 6: Final answer
x = 702,700,788,734.59
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.