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Finding the Third Proportional to 9,789,613 and 20,746,224

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Solution

The third proportional to 9,789,613 and 20,746,224 is: 43,965,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789,613 : 20,746,224 = 20,746,224 : x
  2. Step 2: Convert to fraction form
    9,789,613/20,746,224 = 20,746,224/x
  3. Step 3: Cross multiply
    9,789,613x = 20,746,224 × 20,746,224
  4. Step 4: Simplify right side
    9,789,613x = 430,405,810,258,176
  5. Step 5: Solve for x
    x = 430,405,810,258,176/9,789,613
  6. Step 6: Final answer
    x = 43,965,559.24

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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.