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Finding the Third Proportional to 4,194,700 and 9,189,738

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Solution

The third proportional to 4,194,700 and 9,189,738 is: 20,132,854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194,700 : 9,189,738 = 9,189,738 : x
  2. Step 2: Convert to fraction form
    4,194,700/9,189,738 = 9,189,738/x
  3. Step 3: Cross multiply
    4,194,700x = 9,189,738 × 9,189,738
  4. Step 4: Simplify right side
    4,194,700x = 84,451,284,508,644
  5. Step 5: Solve for x
    x = 84,451,284,508,644/4,194,700
  6. Step 6: Final answer
    x = 20,132,854.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.