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Finding the Third Proportional to 36,592,122 and 48,782,868.75

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Solution

The third proportional to 36,592,122 and 48,782,868.75 is: 65,034,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,592,122 : 48,782,868.75 = 48,782,868.75 : x
  2. Step 2: Convert to fraction form
    36,592,122/48,782,868.75 = 48,782,868.75/x
  3. Step 3: Cross multiply
    36,592,122x = 48,782,868.75 × 48,782,868.75
  4. Step 4: Simplify right side
    36,592,122x = 2,379,768,283,479,726.50
  5. Step 5: Solve for x
    x = 2,379,768,283,479,726.50/36,592,122
  6. Step 6: Final answer
    x = 65,034,989.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.