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Finding the Third Proportional to 9,442,831 and 20,870,569

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Solution

The third proportional to 9,442,831 and 20,870,569 is: 46,128,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442,831 : 20,870,569 = 20,870,569 : x
  2. Step 2: Convert to fraction form
    9,442,831/20,870,569 = 20,870,569/x
  3. Step 3: Cross multiply
    9,442,831x = 20,870,569 × 20,870,569
  4. Step 4: Simplify right side
    9,442,831x = 435,580,650,383,761
  5. Step 5: Solve for x
    x = 435,580,650,383,761/9,442,831
  6. Step 6: Final answer
    x = 46,128,184.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.