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Finding the Third Proportional to 1,289,849,951 and 2,633,839,005

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Solution

The third proportional to 1,289,849,951 and 2,633,839,005 is: 5,378,228,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,849,951 : 2,633,839,005 = 2,633,839,005 : x
  2. Step 2: Convert to fraction form
    1,289,849,951/2,633,839,005 = 2,633,839,005/x
  3. Step 3: Cross multiply
    1,289,849,951x = 2,633,839,005 × 2,633,839,005
  4. Step 4: Simplify right side
    1,289,849,951x = 6,937,107,904,259,390,464
  5. Step 5: Solve for x
    x = 6,937,107,904,259,390,464/1,289,849,951
  6. Step 6: Final answer
    x = 5,378,228,606.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.