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Finding the Third Proportional to 471,388,491 and 956,218,041

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Solution

The third proportional to 471,388,491 and 956,218,041 is: 1,939,701,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,388,491 : 956,218,041 = 956,218,041 : x
  2. Step 2: Convert to fraction form
    471,388,491/956,218,041 = 956,218,041/x
  3. Step 3: Cross multiply
    471,388,491x = 956,218,041 × 956,218,041
  4. Step 4: Simplify right side
    471,388,491x = 914,352,941,933,877,632
  5. Step 5: Solve for x
    x = 914,352,941,933,877,632/471,388,491
  6. Step 6: Final answer
    x = 1,939,701,455.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.