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Finding the Third Proportional to 658,144,828,264 and 926,812,946,778

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Solution

The third proportional to 658,144,828,264 and 926,812,946,778 is: 1,305,156,861,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,144,828,264 : 926,812,946,778 = 926,812,946,778 : x
  2. Step 2: Convert to fraction form
    658,144,828,264/926,812,946,778 = 926,812,946,778/x
  3. Step 3: Cross multiply
    658,144,828,264x = 926,812,946,778 × 926,812,946,778
  4. Step 4: Simplify right side
    658,144,828,264x = 858,982,238,315,319,882,940,416
  5. Step 5: Solve for x
    x = 858,982,238,315,319,882,940,416/658,144,828,264
  6. Step 6: Final answer
    x = 1,305,156,861,265.74

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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.