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Finding the Third Proportional to 10,829,856 and 16,246,896

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Solution

The third proportional to 10,829,856 and 16,246,896 is: 24,373,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829,856 : 16,246,896 = 16,246,896 : x
  2. Step 2: Convert to fraction form
    10,829,856/16,246,896 = 16,246,896/x
  3. Step 3: Cross multiply
    10,829,856x = 16,246,896 × 16,246,896
  4. Step 4: Simplify right side
    10,829,856x = 263,961,629,634,816
  5. Step 5: Solve for x
    x = 263,961,629,634,816/10,829,856
  6. Step 6: Final answer
    x = 24,373,512.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.