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Finding the Third Proportional to 648,739,664 and 1,343,469,508

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Solution

The third proportional to 648,739,664 and 1,343,469,508 is: 2,782,179,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,739,664 : 1,343,469,508 = 1,343,469,508 : x
  2. Step 2: Convert to fraction form
    648,739,664/1,343,469,508 = 1,343,469,508/x
  3. Step 3: Cross multiply
    648,739,664x = 1,343,469,508 × 1,343,469,508
  4. Step 4: Simplify right side
    648,739,664x = 1,804,910,318,925,762,048
  5. Step 5: Solve for x
    x = 1,804,910,318,925,762,048/648,739,664
  6. Step 6: Final answer
    x = 2,782,179,692.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.