Finding the Third Proportional to 658,144,828,266 and 926,812,946,781
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Solution
The third proportional to 658,144,828,266 and 926,812,946,781 is: 1,305,156,861,270.22
Step by Step Solution
- Step 1: Write the proportion equation
658,144,828,266 : 926,812,946,781 = 926,812,946,781 : x - Step 2: Convert to fraction form
658,144,828,266/926,812,946,781 = 926,812,946,781/x - Step 3: Cross multiply
658,144,828,266x = 926,812,946,781 × 926,812,946,781 - Step 4: Simplify right side
658,144,828,266x = 858,982,238,320,880,791,846,912 - Step 5: Solve for x
x = 858,982,238,320,880,791,846,912/658,144,828,266 - Step 6: Final answer
x = 1,305,156,861,270.22
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.