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Finding the Third Proportional to 667,018,990 and 1,448,861,520

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Solution

The third proportional to 667,018,990 and 1,448,861,520 is: 3,147,136,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,018,990 : 1,448,861,520 = 1,448,861,520 : x
  2. Step 2: Convert to fraction form
    667,018,990/1,448,861,520 = 1,448,861,520/x
  3. Step 3: Cross multiply
    667,018,990x = 1,448,861,520 × 1,448,861,520
  4. Step 4: Simplify right side
    667,018,990x = 2,099,199,704,136,710,400
  5. Step 5: Solve for x
    x = 2,099,199,704,136,710,400/667,018,990
  6. Step 6: Final answer
    x = 3,147,136,341.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.