Finding the Third Proportional to 509,595,129,590 and 763,647,259,665
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Solution
The third proportional to 509,595,129,590 and 763,647,259,665 is: 1,144,353,827,837.89
Step by Step Solution
- Step 1: Write the proportion equation
509,595,129,590 : 763,647,259,665 = 763,647,259,665 : x - Step 2: Convert to fraction form
509,595,129,590/763,647,259,665 = 763,647,259,665/x - Step 3: Cross multiply
509,595,129,590x = 763,647,259,665 × 763,647,259,665 - Step 4: Simplify right side
509,595,129,590x = 583,157,137,193,863,936,475,136 - Step 5: Solve for x
x = 583,157,137,193,863,936,475,136/509,595,129,590 - Step 6: Final answer
x = 1,144,353,827,837.89
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.