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Finding the Third Proportional to 271,704,440.91 and 596,785,999.78

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Solution

The third proportional to 271,704,440.91 and 596,785,999.78 is: 1,310,812,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,704,440.91 : 596,785,999.78 = 596,785,999.78 : x
  2. Step 2: Convert to fraction form
    271,704,440.91/596,785,999.78 = 596,785,999.78/x
  3. Step 3: Cross multiply
    271,704,440.91x = 596,785,999.78 × 596,785,999.78
  4. Step 4: Simplify right side
    271,704,440.91x = 356,153,529,534,906,112
  5. Step 5: Solve for x
    x = 356,153,529,534,906,112/271,704,440.91
  6. Step 6: Final answer
    x = 1,310,812,323.67

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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.