Finding the Third Proportional to 337,181,269,578 and 728,103,385,789.50
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Solution
The third proportional to 337,181,269,578 and 728,103,385,789.50 is: 1,572,253,823,771.48
Step by Step Solution
- Step 1: Write the proportion equation
337,181,269,578 : 728,103,385,789.50 = 728,103,385,789.50 : x - Step 2: Convert to fraction form
337,181,269,578/728,103,385,789.50 = 728,103,385,789.50/x - Step 3: Cross multiply
337,181,269,578x = 728,103,385,789.50 × 728,103,385,789.50 - Step 4: Simplify right side
337,181,269,578x = 530,134,540,398,133,464,006,656 - Step 5: Solve for x
x = 530,134,540,398,133,464,006,656/337,181,269,578 - Step 6: Final answer
x = 1,572,253,823,771.48
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.