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Finding the Third Proportional to 31,324,408,070 and 49,682,450,984

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Solution

The third proportional to 31,324,408,070 and 49,682,450,984 is: 78,799,443,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324,408,070 : 49,682,450,984 = 49,682,450,984 : x
  2. Step 2: Convert to fraction form
    31,324,408,070/49,682,450,984 = 49,682,450,984/x
  3. Step 3: Cross multiply
    31,324,408,070x = 49,682,450,984 × 49,682,450,984
  4. Step 4: Simplify right side
    31,324,408,070x = 2,468,345,935,777,562,624,000
  5. Step 5: Solve for x
    x = 2,468,345,935,777,562,624,000/31,324,408,070
  6. Step 6: Final answer
    x = 78,799,443,879.72

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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.