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Finding the Third Proportional to 5,126,896 and 11,064,400

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Solution

The third proportional to 5,126,896 and 11,064,400 is: 23,878,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126,896 : 11,064,400 = 11,064,400 : x
  2. Step 2: Convert to fraction form
    5,126,896/11,064,400 = 11,064,400/x
  3. Step 3: Cross multiply
    5,126,896x = 11,064,400 × 11,064,400
  4. Step 4: Simplify right side
    5,126,896x = 122,420,947,360,000
  5. Step 5: Solve for x
    x = 122,420,947,360,000/5,126,896
  6. Step 6: Final answer
    x = 23,878,180.36

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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.