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Finding the Third Proportional to 30,291,576 and 65,202,096

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Solution

The third proportional to 30,291,576 and 65,202,096 is: 140,346,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291,576 : 65,202,096 = 65,202,096 : x
  2. Step 2: Convert to fraction form
    30,291,576/65,202,096 = 65,202,096/x
  3. Step 3: Cross multiply
    30,291,576x = 65,202,096 × 65,202,096
  4. Step 4: Simplify right side
    30,291,576x = 4,251,313,322,793,216
  5. Step 5: Solve for x
    x = 4,251,313,322,793,216/30,291,576
  6. Step 6: Final answer
    x = 140,346,389.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.