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Finding the Third Proportional to 1,727,743,752 and 2,782,236,468

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Solution

The third proportional to 1,727,743,752 and 2,782,236,468 is: 4,480,317,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,743,752 : 2,782,236,468 = 2,782,236,468 : x
  2. Step 2: Convert to fraction form
    1,727,743,752/2,782,236,468 = 2,782,236,468/x
  3. Step 3: Cross multiply
    1,727,743,752x = 2,782,236,468 × 2,782,236,468
  4. Step 4: Simplify right side
    1,727,743,752x = 7,740,839,763,869,115,392
  5. Step 5: Solve for x
    x = 7,740,839,763,869,115,392/1,727,743,752
  6. Step 6: Final answer
    x = 4,480,317,034.81

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.