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Finding the Third Proportional to 11,214,910 and 16,803,656

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Solution

The third proportional to 11,214,910 and 16,803,656 is: 25,177,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214,910 : 16,803,656 = 16,803,656 : x
  2. Step 2: Convert to fraction form
    11,214,910/16,803,656 = 16,803,656/x
  3. Step 3: Cross multiply
    11,214,910x = 16,803,656 × 16,803,656
  4. Step 4: Simplify right side
    11,214,910x = 282,362,854,966,336
  5. Step 5: Solve for x
    x = 282,362,854,966,336/11,214,910
  6. Step 6: Final answer
    x = 25,177,451.71

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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.