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Finding the Third Proportional to 271,709,140 and 596,796,128

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Solution

The third proportional to 271,709,140 and 596,796,128 is: 1,310,834,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,709,140 : 596,796,128 = 596,796,128 : x
  2. Step 2: Convert to fraction form
    271,709,140/596,796,128 = 596,796,128/x
  3. Step 3: Cross multiply
    271,709,140x = 596,796,128 × 596,796,128
  4. Step 4: Simplify right side
    271,709,140x = 356,165,618,395,792,384
  5. Step 5: Solve for x
    x = 356,165,618,395,792,384/271,709,140
  6. Step 6: Final answer
    x = 1,310,834,145.64

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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.