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Finding the Third Proportional to 36,493,898 and 51,020,619

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Solution

The third proportional to 36,493,898 and 51,020,619 is: 71,329,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,493,898 : 51,020,619 = 51,020,619 : x
  2. Step 2: Convert to fraction form
    36,493,898/51,020,619 = 51,020,619/x
  3. Step 3: Cross multiply
    36,493,898x = 51,020,619 × 51,020,619
  4. Step 4: Simplify right side
    36,493,898x = 2,603,103,563,143,161
  5. Step 5: Solve for x
    x = 2,603,103,563,143,161/36,493,898
  6. Step 6: Final answer
    x = 71,329,830.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.