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Finding the Third Proportional to 12,433,827 and 26,757,223

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Solution

The third proportional to 12,433,827 and 26,757,223 is: 57,580,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433,827 : 26,757,223 = 26,757,223 : x
  2. Step 2: Convert to fraction form
    12,433,827/26,757,223 = 26,757,223/x
  3. Step 3: Cross multiply
    12,433,827x = 26,757,223 × 26,757,223
  4. Step 4: Simplify right side
    12,433,827x = 715,948,982,671,729
  5. Step 5: Solve for x
    x = 715,948,982,671,729/12,433,827
  6. Step 6: Final answer
    x = 57,580,741.85

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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.