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Finding the Third Proportional to 8,769,332,446 and 20,462,482,814

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Solution

The third proportional to 8,769,332,446 and 20,462,482,814 is: 47,747,443,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769,332,446 : 20,462,482,814 = 20,462,482,814 : x
  2. Step 2: Convert to fraction form
    8,769,332,446/20,462,482,814 = 20,462,482,814/x
  3. Step 3: Cross multiply
    8,769,332,446x = 20,462,482,814 × 20,462,482,814
  4. Step 4: Simplify right side
    8,769,332,446x = 418,713,202,913,245,331,456
  5. Step 5: Solve for x
    x = 418,713,202,913,245,331,456/8,769,332,446
  6. Step 6: Final answer
    x = 47,747,443,205.24

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.