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Finding the Third Proportional to 1,684,361,272 and 3,756,011,786

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Solution

The third proportional to 1,684,361,272 and 3,756,011,786 is: 8,375,652,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,361,272 : 3,756,011,786 = 3,756,011,786 : x
  2. Step 2: Convert to fraction form
    1,684,361,272/3,756,011,786 = 3,756,011,786/x
  3. Step 3: Cross multiply
    1,684,361,272x = 3,756,011,786 × 3,756,011,786
  4. Step 4: Simplify right side
    1,684,361,272x = 14,107,624,536,570,910,720
  5. Step 5: Solve for x
    x = 14,107,624,536,570,910,720/1,684,361,272
  6. Step 6: Final answer
    x = 8,375,652,403.73

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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.