Finding the Third Proportional to 426,143,437,596 and 927,305,286,624
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Solution
The third proportional to 426,143,437,596 and 927,305,286,624 is: 2,017,853,658,504.61
Step by Step Solution
- Step 1: Write the proportion equation
426,143,437,596 : 927,305,286,624 = 927,305,286,624 : x - Step 2: Convert to fraction form
426,143,437,596/927,305,286,624 = 927,305,286,624/x - Step 3: Cross multiply
426,143,437,596x = 927,305,286,624 × 927,305,286,624 - Step 4: Simplify right side
426,143,437,596x = 859,895,094,600,818,774,507,520 - Step 5: Solve for x
x = 859,895,094,600,818,774,507,520/426,143,437,596 - Step 6: Final answer
x = 2,017,853,658,504.61
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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.