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Finding the Third Proportional to 271,299,951 and 588,536,338.50

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Solution

The third proportional to 271,299,951 and 588,536,338.50 is: 1,276,723,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,299,951 : 588,536,338.50 = 588,536,338.50 : x
  2. Step 2: Convert to fraction form
    271,299,951/588,536,338.50 = 588,536,338.50/x
  3. Step 3: Cross multiply
    271,299,951x = 588,536,338.50 × 588,536,338.50
  4. Step 4: Simplify right side
    271,299,951x = 346,375,021,734,986,560
  5. Step 5: Solve for x
    x = 346,375,021,734,986,560/271,299,951
  6. Step 6: Final answer
    x = 1,276,723,495.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.