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Finding the Third Proportional to 52,445,286 and 106,970,652

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Solution

The third proportional to 52,445,286 and 106,970,652 is: 218,183,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,445,286 : 106,970,652 = 106,970,652 : x
  2. Step 2: Convert to fraction form
    52,445,286/106,970,652 = 106,970,652/x
  3. Step 3: Cross multiply
    52,445,286x = 106,970,652 × 106,970,652
  4. Step 4: Simplify right side
    52,445,286x = 11,442,720,389,305,104
  5. Step 5: Solve for x
    x = 11,442,720,389,305,104/52,445,286
  6. Step 6: Final answer
    x = 218,183,963.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.