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Finding the Third Proportional to 20,193,506 and 31,327,390

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Solution

The third proportional to 20,193,506 and 31,327,390 is: 48,600,048.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193,506 : 31,327,390 = 31,327,390 : x
  2. Step 2: Convert to fraction form
    20,193,506/31,327,390 = 31,327,390/x
  3. Step 3: Cross multiply
    20,193,506x = 31,327,390 × 31,327,390
  4. Step 4: Simplify right side
    20,193,506x = 981,405,364,212,100
  5. Step 5: Solve for x
    x = 981,405,364,212,100/20,193,506
  6. Step 6: Final answer
    x = 48,600,048.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.