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Finding the Third Proportional to 50,172,912 and 106,374,672

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Solution

The third proportional to 50,172,912 and 106,374,672 is: 225,531,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,172,912 : 106,374,672 = 106,374,672 : x
  2. Step 2: Convert to fraction form
    50,172,912/106,374,672 = 106,374,672/x
  3. Step 3: Cross multiply
    50,172,912x = 106,374,672 × 106,374,672
  4. Step 4: Simplify right side
    50,172,912x = 11,315,570,843,107,584
  5. Step 5: Solve for x
    x = 11,315,570,843,107,584/50,172,912
  6. Step 6: Final answer
    x = 225,531,474.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.