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Finding the Third Proportional to 1,684,361,279 and 3,756,011,800

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Solution

The third proportional to 1,684,361,279 and 3,756,011,800 is: 8,375,652,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,361,279 : 3,756,011,800 = 3,756,011,800 : x
  2. Step 2: Convert to fraction form
    1,684,361,279/3,756,011,800 = 3,756,011,800/x
  3. Step 3: Cross multiply
    1,684,361,279x = 3,756,011,800 × 3,756,011,800
  4. Step 4: Simplify right side
    1,684,361,279x = 14,107,624,641,739,239,424
  5. Step 5: Solve for x
    x = 14,107,624,641,739,239,424/1,684,361,279
  6. Step 6: Final answer
    x = 8,375,652,431.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.