Finding the Third Proportional to 683,223,576,318 and 1,422,997,152,840
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Solution
The third proportional to 683,223,576,318 and 1,422,997,152,840 is: 2,963,774,915,238.38
Step by Step Solution
- Step 1: Write the proportion equation
683,223,576,318 : 1,422,997,152,840 = 1,422,997,152,840 : x - Step 2: Convert to fraction form
683,223,576,318/1,422,997,152,840 = 1,422,997,152,840/x - Step 3: Cross multiply
683,223,576,318x = 1,422,997,152,840 × 1,422,997,152,840 - Step 4: Simplify right side
683,223,576,318x = 2,024,920,896,990,746,293,305,344 - Step 5: Solve for x
x = 2,024,920,896,990,746,293,305,344/683,223,576,318 - Step 6: Final answer
x = 2,963,774,915,238.38
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.