Finding the Third Proportional to 426,143,437,600 and 927,305,286,632
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Solution
The third proportional to 426,143,437,600 and 927,305,286,632 is: 2,017,853,658,520.48
Step by Step Solution
- Step 1: Write the proportion equation
426,143,437,600 : 927,305,286,632 = 927,305,286,632 : x - Step 2: Convert to fraction form
426,143,437,600/927,305,286,632 = 927,305,286,632/x - Step 3: Cross multiply
426,143,437,600x = 927,305,286,632 × 927,305,286,632 - Step 4: Simplify right side
426,143,437,600x = 859,895,094,615,655,739,031,552 - Step 5: Solve for x
x = 859,895,094,615,655,739,031,552/426,143,437,600 - Step 6: Final answer
x = 2,017,853,658,520.48
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.