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Finding the Third Proportional to 211,041,831 and 465,019,453

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Solution

The third proportional to 211,041,831 and 465,019,453 is: 1,024,645,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,041,831 : 465,019,453 = 465,019,453 : x
  2. Step 2: Convert to fraction form
    211,041,831/465,019,453 = 465,019,453/x
  3. Step 3: Cross multiply
    211,041,831x = 465,019,453 × 465,019,453
  4. Step 4: Simplify right side
    211,041,831x = 216,243,091,668,419,200
  5. Step 5: Solve for x
    x = 216,243,091,668,419,200/211,041,831
  6. Step 6: Final answer
    x = 1,024,645,638.47

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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.