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Finding the Third Proportional to 271,606,540 and 430,784,790

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Solution

The third proportional to 271,606,540 and 430,784,790 is: 683,251,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,606,540 : 430,784,790 = 430,784,790 : x
  2. Step 2: Convert to fraction form
    271,606,540/430,784,790 = 430,784,790/x
  3. Step 3: Cross multiply
    271,606,540x = 430,784,790 × 430,784,790
  4. Step 4: Simplify right side
    271,606,540x = 185,575,535,295,344,096
  5. Step 5: Solve for x
    x = 185,575,535,295,344,096/271,606,540
  6. Step 6: Final answer
    x = 683,251,350.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.