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Finding the Third Proportional to 9,789,609.38 and 20,746,216.13

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Solution

The third proportional to 9,789,609.38 and 20,746,216.13 is: 43,965,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789,609.38 : 20,746,216.13 = 20,746,216.13 : x
  2. Step 2: Convert to fraction form
    9,789,609.38/20,746,216.13 = 20,746,216.13/x
  3. Step 3: Cross multiply
    9,789,609.38x = 20,746,216.13 × 20,746,216.13
  4. Step 4: Simplify right side
    9,789,609.38x = 430,405,483,505,210
  5. Step 5: Solve for x
    x = 430,405,483,505,210/9,789,609.38
  6. Step 6: Final answer
    x = 43,965,542.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.