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Finding the Third Proportional to 8,769,332,448 and 20,462,482,819

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Solution

The third proportional to 8,769,332,448 and 20,462,482,819 is: 47,747,443,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769,332,448 : 20,462,482,819 = 20,462,482,819 : x
  2. Step 2: Convert to fraction form
    8,769,332,448/20,462,482,819 = 20,462,482,819/x
  3. Step 3: Cross multiply
    8,769,332,448x = 20,462,482,819 × 20,462,482,819
  4. Step 4: Simplify right side
    8,769,332,448x = 418,713,203,117,870,219,264
  5. Step 5: Solve for x
    x = 418,713,203,117,870,219,264/8,769,332,448
  6. Step 6: Final answer
    x = 47,747,443,217.68

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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.