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Finding the Third Proportional to 11,791,007.16 and 18,749,408.77

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Solution

The third proportional to 11,791,007.16 and 18,749,408.77 is: 29,814,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791,007.16 : 18,749,408.77 = 18,749,408.77 : x
  2. Step 2: Convert to fraction form
    11,791,007.16/18,749,408.77 = 18,749,408.77/x
  3. Step 3: Cross multiply
    11,791,007.16x = 18,749,408.77 × 18,749,408.77
  4. Step 4: Simplify right side
    11,791,007.16x = 351,540,329,060,495.56
  5. Step 5: Solve for x
    x = 351,540,329,060,495.56/11,791,007.16
  6. Step 6: Final answer
    x = 29,814,274.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.