Finding the Third Proportional to 658,144,828,272 and 926,812,946,790
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Solution
The third proportional to 658,144,828,272 and 926,812,946,790 is: 1,305,156,861,283.67
Step by Step Solution
- Step 1: Write the proportion equation
658,144,828,272 : 926,812,946,790 = 926,812,946,790 : x - Step 2: Convert to fraction form
658,144,828,272/926,812,946,790 = 926,812,946,790/x - Step 3: Cross multiply
658,144,828,272x = 926,812,946,790 × 926,812,946,790 - Step 4: Simplify right side
658,144,828,272x = 858,982,238,337,563,384,348,672 - Step 5: Solve for x
x = 858,982,238,337,563,384,348,672/658,144,828,272 - Step 6: Final answer
x = 1,305,156,861,283.67
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.