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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

  1. Step 1: Write the proportion equation
    658,144,828,266 : 926,812,946,781 = 926,812,946,781 : x
  2. Step 2: Convert to fraction form
    658,144,828,266/926,812,946,781 = 926,812,946,781/x
  3. Step 3: Cross multiply
    658,144,828,266x = 926,812,946,781 × 926,812,946,781
  4. Step 4: Simplify right side
    658,144,828,266x = 858,982,238,320,880,791,846,912
  5. Step 5: Solve for x
    x = 858,982,238,320,880,791,846,912/658,144,828,266
  6. Step 6: Final answer
    x = 1,305,156,861,270.22

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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.