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Finding the Third Proportional to 30,754,113 and 67,647,378

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Solution

The third proportional to 30,754,113 and 67,647,378 is: 148,798,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,754,113 : 67,647,378 = 67,647,378 : x
  2. Step 2: Convert to fraction form
    30,754,113/67,647,378 = 67,647,378/x
  3. Step 3: Cross multiply
    30,754,113x = 67,647,378 × 67,647,378
  4. Step 4: Simplify right side
    30,754,113x = 4,576,167,750,274,884
  5. Step 5: Solve for x
    x = 4,576,167,750,274,884/30,754,113
  6. Step 6: Final answer
    x = 148,798,560.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.