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Finding the Third Proportional to 9,790,314 and 20,385,190.50

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Solution

The third proportional to 9,790,314 and 20,385,190.50 is: 42,445,624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790,314 : 20,385,190.50 = 20,385,190.50 : x
  2. Step 2: Convert to fraction form
    9,790,314/20,385,190.50 = 20,385,190.50/x
  3. Step 3: Cross multiply
    9,790,314x = 20,385,190.50 × 20,385,190.50
  4. Step 4: Simplify right side
    9,790,314x = 415,555,991,721,290.25
  5. Step 5: Solve for x
    x = 415,555,991,721,290.25/9,790,314
  6. Step 6: Final answer
    x = 42,445,624.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.