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Finding the Third Proportional to 24,446,739 and 51,808,099.50

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Solution

The third proportional to 24,446,739 and 51,808,099.50 is: 109,792,932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446,739 : 51,808,099.50 = 51,808,099.50 : x
  2. Step 2: Convert to fraction form
    24,446,739/51,808,099.50 = 51,808,099.50/x
  3. Step 3: Cross multiply
    24,446,739x = 51,808,099.50 × 51,808,099.50
  4. Step 4: Simplify right side
    24,446,739x = 2,684,079,173,801,900
  5. Step 5: Solve for x
    x = 2,684,079,173,801,900/24,446,739
  6. Step 6: Final answer
    x = 109,792,932.87

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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.