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Finding the Third Proportional to 12,030,615 and 25,978,830.75

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Solution

The third proportional to 12,030,615 and 25,978,830.75 is: 56,098,515.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030,615 : 25,978,830.75 = 25,978,830.75 : x
  2. Step 2: Convert to fraction form
    12,030,615/25,978,830.75 = 25,978,830.75/x
  3. Step 3: Cross multiply
    12,030,615x = 25,978,830.75 × 25,978,830.75
  4. Step 4: Simplify right side
    12,030,615x = 674,899,647,137,145.50
  5. Step 5: Solve for x
    x = 674,899,647,137,145.50/12,030,615
  6. Step 6: Final answer
    x = 56,098,515.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.