Finding the Third Proportional to 683,710,297,715 and 1,455,848,126,302
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Solution
The third proportional to 683,710,297,715 and 1,455,848,126,302 is: 3,099,988,070,883.99
Step by Step Solution
- Step 1: Write the proportion equation
683,710,297,715 : 1,455,848,126,302 = 1,455,848,126,302 : x - Step 2: Convert to fraction form
683,710,297,715/1,455,848,126,302 = 1,455,848,126,302/x - Step 3: Cross multiply
683,710,297,715x = 1,455,848,126,302 × 1,455,848,126,302 - Step 4: Simplify right side
683,710,297,715x = 2,119,493,766,857,044,015,448,064 - Step 5: Solve for x
x = 2,119,493,766,857,044,015,448,064/683,710,297,715 - Step 6: Final answer
x = 3,099,988,070,883.99
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.