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Finding the Third Proportional to 9,790,310.25 and 20,385,184.50

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Solution

The third proportional to 9,790,310.25 and 20,385,184.50 is: 42,445,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790,310.25 : 20,385,184.50 = 20,385,184.50 : x
  2. Step 2: Convert to fraction form
    9,790,310.25/20,385,184.50 = 20,385,184.50/x
  3. Step 3: Cross multiply
    9,790,310.25x = 20,385,184.50 × 20,385,184.50
  4. Step 4: Simplify right side
    9,790,310.25x = 415,555,747,099,040.25
  5. Step 5: Solve for x
    x = 415,555,747,099,040.25/9,790,310.25
  6. Step 6: Final answer
    x = 42,445,615.77

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