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Finding the Third Proportional to 11,446,484 and 24,257,656

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Solution

The third proportional to 11,446,484 and 24,257,656 is: 51,407,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446,484 : 24,257,656 = 24,257,656 : x
  2. Step 2: Convert to fraction form
    11,446,484/24,257,656 = 24,257,656/x
  3. Step 3: Cross multiply
    11,446,484x = 24,257,656 × 24,257,656
  4. Step 4: Simplify right side
    11,446,484x = 588,433,874,614,336
  5. Step 5: Solve for x
    x = 588,433,874,614,336/11,446,484
  6. Step 6: Final answer
    x = 51,407,390.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.