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Finding the Third Proportional to 271,709,141 and 596,796,130

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Solution

The third proportional to 271,709,141 and 596,796,130 is: 1,310,834,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,709,141 : 596,796,130 = 596,796,130 : x
  2. Step 2: Convert to fraction form
    271,709,141/596,796,130 = 596,796,130/x
  3. Step 3: Cross multiply
    271,709,141x = 596,796,130 × 596,796,130
  4. Step 4: Simplify right side
    271,709,141x = 356,165,620,782,976,896
  5. Step 5: Solve for x
    x = 356,165,620,782,976,896/271,709,141
  6. Step 6: Final answer
    x = 1,310,834,149.61

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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.