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Finding the Third Proportional to 11,867,430 and 24,363,984

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Solution

The third proportional to 11,867,430 and 24,363,984 is: 50,019,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867,430 : 24,363,984 = 24,363,984 : x
  2. Step 2: Convert to fraction form
    11,867,430/24,363,984 = 24,363,984/x
  3. Step 3: Cross multiply
    11,867,430x = 24,363,984 × 24,363,984
  4. Step 4: Simplify right side
    11,867,430x = 593,603,716,352,256
  5. Step 5: Solve for x
    x = 593,603,716,352,256/11,867,430
  6. Step 6: Final answer
    x = 50,019,567.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.