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Finding the Third Proportional to 71,137,711 and 164,673,543

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Solution

The third proportional to 71,137,711 and 164,673,543 is: 381,195,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,137,711 : 164,673,543 = 164,673,543 : x
  2. Step 2: Convert to fraction form
    71,137,711/164,673,543 = 164,673,543/x
  3. Step 3: Cross multiply
    71,137,711x = 164,673,543 × 164,673,543
  4. Step 4: Simplify right side
    71,137,711x = 27,117,375,764,172,848
  5. Step 5: Solve for x
    x = 27,117,375,764,172,848/71,137,711
  6. Step 6: Final answer
    x = 381,195,506.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.