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Finding the Third Proportional to 405,525,218,620.50 and 844,423,468,911

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Solution

The third proportional to 405,525,218,620.50 and 844,423,468,911 is: 1,758,339,462,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,525,218,620.50 : 844,423,468,911 = 844,423,468,911 : x
  2. Step 2: Convert to fraction form
    405,525,218,620.50/844,423,468,911 = 844,423,468,911/x
  3. Step 3: Cross multiply
    405,525,218,620.50x = 844,423,468,911 × 844,423,468,911
  4. Step 4: Simplify right side
    405,525,218,620.50x = 713,050,994,847,686,556,909,568
  5. Step 5: Solve for x
    x = 713,050,994,847,686,556,909,568/405,525,218,620.50
  6. Step 6: Final answer
    x = 1,758,339,462,273.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.