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Finding the Third Proportional to 761,628,933.75 and 1,658,469,448.13

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Solution

The third proportional to 761,628,933.75 and 1,658,469,448.13 is: 3,611,366,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,628,933.75 : 1,658,469,448.13 = 1,658,469,448.13 : x
  2. Step 2: Convert to fraction form
    761,628,933.75/1,658,469,448.13 = 1,658,469,448.13/x
  3. Step 3: Cross multiply
    761,628,933.75x = 1,658,469,448.13 × 1,658,469,448.13
  4. Step 4: Simplify right side
    761,628,933.75x = 2,750,520,910,364,042,240
  5. Step 5: Solve for x
    x = 2,750,520,910,364,042,240/761,628,933.75
  6. Step 6: Final answer
    x = 3,611,366,097.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.