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Finding the Third Proportional to 51,669,147 and 110,756,706

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Solution

The third proportional to 51,669,147 and 110,756,706 is: 237,415,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,669,147 : 110,756,706 = 110,756,706 : x
  2. Step 2: Convert to fraction form
    51,669,147/110,756,706 = 110,756,706/x
  3. Step 3: Cross multiply
    51,669,147x = 110,756,706 × 110,756,706
  4. Step 4: Simplify right side
    51,669,147x = 12,267,047,923,970,436
  5. Step 5: Solve for x
    x = 12,267,047,923,970,436/51,669,147
  6. Step 6: Final answer
    x = 237,415,336.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.