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Finding the Third Proportional to 30,524,418 and 65,479,954

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Solution

The third proportional to 30,524,418 and 65,479,954 is: 140,465,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524,418 : 65,479,954 = 65,479,954 : x
  2. Step 2: Convert to fraction form
    30,524,418/65,479,954 = 65,479,954/x
  3. Step 3: Cross multiply
    30,524,418x = 65,479,954 × 65,479,954
  4. Step 4: Simplify right side
    30,524,418x = 4,287,624,375,842,116
  5. Step 5: Solve for x
    x = 4,287,624,375,842,116/30,524,418
  6. Step 6: Final answer
    x = 140,465,393.18

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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.