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Finding the Third Proportional to 51,495,846 and 107,224,652

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Solution

The third proportional to 51,495,846 and 107,224,652 is: 223,263,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,495,846 : 107,224,652 = 107,224,652 : x
  2. Step 2: Convert to fraction form
    51,495,846/107,224,652 = 107,224,652/x
  3. Step 3: Cross multiply
    51,495,846x = 107,224,652 × 107,224,652
  4. Step 4: Simplify right side
    51,495,846x = 11,497,125,996,521,104
  5. Step 5: Solve for x
    x = 11,497,125,996,521,104/51,495,846
  6. Step 6: Final answer
    x = 223,263,173.43

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.