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Finding the Third Proportional to 51,563,529 and 74,569,851

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Solution

The third proportional to 51,563,529 and 74,569,851 is: 107,841,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,563,529 : 74,569,851 = 74,569,851 : x
  2. Step 2: Convert to fraction form
    51,563,529/74,569,851 = 74,569,851/x
  3. Step 3: Cross multiply
    51,563,529x = 74,569,851 × 74,569,851
  4. Step 4: Simplify right side
    51,563,529x = 5,560,662,678,162,201
  5. Step 5: Solve for x
    x = 5,560,662,678,162,201/51,563,529
  6. Step 6: Final answer
    x = 107,841,002.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.