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Finding the Third Proportional to 271,709,136 and 596,796,120

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Solution

The third proportional to 271,709,136 and 596,796,120 is: 1,310,834,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,709,136 : 596,796,120 = 596,796,120 : x
  2. Step 2: Convert to fraction form
    271,709,136/596,796,120 = 596,796,120/x
  3. Step 3: Cross multiply
    271,709,136x = 596,796,120 × 596,796,120
  4. Step 4: Simplify right side
    271,709,136x = 356,165,608,847,054,400
  5. Step 5: Solve for x
    x = 356,165,608,847,054,400/271,709,136
  6. Step 6: Final answer
    x = 1,310,834,129.80

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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.