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Finding the Third Proportional to 1,289,849,949 and 2,633,839,001

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Solution

The third proportional to 1,289,849,949 and 2,633,839,001 is: 5,378,228,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,849,949 : 2,633,839,001 = 2,633,839,001 : x
  2. Step 2: Convert to fraction form
    1,289,849,949/2,633,839,001 = 2,633,839,001/x
  3. Step 3: Cross multiply
    1,289,849,949x = 2,633,839,001 × 2,633,839,001
  4. Step 4: Simplify right side
    1,289,849,949x = 6,937,107,883,188,677,632
  5. Step 5: Solve for x
    x = 6,937,107,883,188,677,632/1,289,849,949
  6. Step 6: Final answer
    x = 5,378,228,598.27

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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.