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Finding the Third Proportional to 3,079,384,575 and 4,449,179,901

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Solution

The third proportional to 3,079,384,575 and 4,449,179,901 is: 6,428,298,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079,384,575 : 4,449,179,901 = 4,449,179,901 : x
  2. Step 2: Convert to fraction form
    3,079,384,575/4,449,179,901 = 4,449,179,901/x
  3. Step 3: Cross multiply
    3,079,384,575x = 4,449,179,901 × 4,449,179,901
  4. Step 4: Simplify right side
    3,079,384,575x = 19,795,201,791,462,371,328
  5. Step 5: Solve for x
    x = 19,795,201,791,462,371,328/3,079,384,575
  6. Step 6: Final answer
    x = 6,428,298,028.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.