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Finding the Third Proportional to 36,592,119 and 48,782,864.25

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Solution

The third proportional to 36,592,119 and 48,782,864.25 is: 65,034,983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,592,119 : 48,782,864.25 = 48,782,864.25 : x
  2. Step 2: Convert to fraction form
    36,592,119/48,782,864.25 = 48,782,864.25/x
  3. Step 3: Cross multiply
    36,592,119x = 48,782,864.25 × 48,782,864.25
  4. Step 4: Simplify right side
    36,592,119x = 2,379,767,844,433,928
  5. Step 5: Solve for x
    x = 2,379,767,844,433,928/36,592,119
  6. Step 6: Final answer
    x = 65,034,983.20

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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.