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Finding the Third Proportional to 1,727,270,612 and 3,761,226,664

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Solution

The third proportional to 1,727,270,612 and 3,761,226,664 is: 8,190,277,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,270,612 : 3,761,226,664 = 3,761,226,664 : x
  2. Step 2: Convert to fraction form
    1,727,270,612/3,761,226,664 = 3,761,226,664/x
  3. Step 3: Cross multiply
    1,727,270,612x = 3,761,226,664 × 3,761,226,664
  4. Step 4: Simplify right side
    1,727,270,612x = 14,146,826,017,984,569,344
  5. Step 5: Solve for x
    x = 14,146,826,017,984,569,344/1,727,270,612
  6. Step 6: Final answer
    x = 8,190,277,724.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.