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Finding the Third Proportional to 658,144,828,270 and 926,812,946,787

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Solution

The third proportional to 658,144,828,270 and 926,812,946,787 is: 1,305,156,861,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,144,828,270 : 926,812,946,787 = 926,812,946,787 : x
  2. Step 2: Convert to fraction form
    658,144,828,270/926,812,946,787 = 926,812,946,787/x
  3. Step 3: Cross multiply
    658,144,828,270x = 926,812,946,787 × 926,812,946,787
  4. Step 4: Simplify right side
    658,144,828,270x = 858,982,238,332,002,475,442,176
  5. Step 5: Solve for x
    x = 858,982,238,332,002,475,442,176/658,144,828,270
  6. Step 6: Final answer
    x = 1,305,156,861,279.19

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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.