Finding the Third Proportional to 68,136,124,214 and 148,270,175,784
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Solution
The third proportional to 68,136,124,214 and 148,270,175,784 is: 322,648,892,648.65
Step by Step Solution
- Step 1: Write the proportion equation
68,136,124,214 : 148,270,175,784 = 148,270,175,784 : x - Step 2: Convert to fraction form
68,136,124,214/148,270,175,784 = 148,270,175,784/x - Step 3: Cross multiply
68,136,124,214x = 148,270,175,784 × 148,270,175,784 - Step 4: Simplify right side
68,136,124,214x = 21,984,045,027,018,261,135,360 - Step 5: Solve for x
x = 21,984,045,027,018,261,135,360/68,136,124,214 - Step 6: Final answer
x = 322,648,892,648.65
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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.