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Finding the Third Proportional to 8,769,332,443.50 and 20,462,482,809

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Solution

The third proportional to 8,769,332,443.50 and 20,462,482,809 is: 47,747,443,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769,332,443.50 : 20,462,482,809 = 20,462,482,809 : x
  2. Step 2: Convert to fraction form
    8,769,332,443.50/20,462,482,809 = 20,462,482,809/x
  3. Step 3: Cross multiply
    8,769,332,443.50x = 20,462,482,809 × 20,462,482,809
  4. Step 4: Simplify right side
    8,769,332,443.50x = 418,713,202,708,620,509,184
  5. Step 5: Solve for x
    x = 418,713,202,708,620,509,184/8,769,332,443.50
  6. Step 6: Final answer
    x = 47,747,443,195.52

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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.