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Finding the Third Proportional to 5,429,872 and 11,698,976

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Solution

The third proportional to 5,429,872 and 11,698,976 is: 25,206,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429,872 : 11,698,976 = 11,698,976 : x
  2. Step 2: Convert to fraction form
    5,429,872/11,698,976 = 11,698,976/x
  3. Step 3: Cross multiply
    5,429,872x = 11,698,976 × 11,698,976
  4. Step 4: Simplify right side
    5,429,872x = 136,866,039,448,576
  5. Step 5: Solve for x
    x = 136,866,039,448,576/5,429,872
  6. Step 6: Final answer
    x = 25,206,126.30

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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.