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Finding the Third Proportional to 5,429,876 and 11,698,984

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Solution

The third proportional to 5,429,876 and 11,698,984 is: 25,206,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429,876 : 11,698,984 = 11,698,984 : x
  2. Step 2: Convert to fraction form
    5,429,876/11,698,984 = 11,698,984/x
  3. Step 3: Cross multiply
    5,429,876x = 11,698,984 × 11,698,984
  4. Step 4: Simplify right side
    5,429,876x = 136,866,226,632,256
  5. Step 5: Solve for x
    x = 136,866,226,632,256/5,429,876
  6. Step 6: Final answer
    x = 25,206,142.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.