Finding the Third Proportional to 274,373,930,909 and 594,340,318,125
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Solution
The third proportional to 274,373,930,909 and 594,340,318,125 is: 1,287,441,604,159.12
Step by Step Solution
- Step 1: Write the proportion equation
274,373,930,909 : 594,340,318,125 = 594,340,318,125 : x - Step 2: Convert to fraction form
274,373,930,909/594,340,318,125 = 594,340,318,125/x - Step 3: Cross multiply
274,373,930,909x = 594,340,318,125 × 594,340,318,125 - Step 4: Simplify right side
274,373,930,909x = 353,240,413,748,926,187,831,296 - Step 5: Solve for x
x = 353,240,413,748,926,187,831,296/274,373,930,909 - Step 6: Final answer
x = 1,287,441,604,159.12
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.