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Finding the Third Proportional to 2,451,269,728 and 3,668,219,664

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Solution

The third proportional to 2,451,269,728 and 3,668,219,664 is: 5,489,332,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451,269,728 : 3,668,219,664 = 3,668,219,664 : x
  2. Step 2: Convert to fraction form
    2,451,269,728/3,668,219,664 = 3,668,219,664/x
  3. Step 3: Cross multiply
    2,451,269,728x = 3,668,219,664 × 3,668,219,664
  4. Step 4: Simplify right side
    2,451,269,728x = 13,455,835,503,356,272,640
  5. Step 5: Solve for x
    x = 13,455,835,503,356,272,640/2,451,269,728
  6. Step 6: Final answer
    x = 5,489,332,874.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.