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Finding the Third Proportional to 36,592,120 and 48,782,865.50

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Solution

The third proportional to 36,592,120 and 48,782,865.50 is: 65,034,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,592,120 : 48,782,865.50 = 48,782,865.50 : x
  2. Step 2: Convert to fraction form
    36,592,120/48,782,865.50 = 48,782,865.50/x
  3. Step 3: Cross multiply
    36,592,120x = 48,782,865.50 × 48,782,865.50
  4. Step 4: Simplify right side
    36,592,120x = 2,379,767,966,391,090
  5. Step 5: Solve for x
    x = 2,379,767,966,391,090/36,592,120
  6. Step 6: Final answer
    x = 65,034,984.76

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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.