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Finding the Third Proportional to 12,433,844 and 26,757,256

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Solution

The third proportional to 12,433,844 and 26,757,256 is: 57,580,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433,844 : 26,757,256 = 26,757,256 : x
  2. Step 2: Convert to fraction form
    12,433,844/26,757,256 = 26,757,256/x
  3. Step 3: Cross multiply
    12,433,844x = 26,757,256 × 26,757,256
  4. Step 4: Simplify right side
    12,433,844x = 715,950,748,649,536
  5. Step 5: Solve for x
    x = 715,950,748,649,536/12,433,844
  6. Step 6: Final answer
    x = 57,580,805.15

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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.