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Finding the Third Proportional to 628,391,928 and 1,333,382,012

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Solution

The third proportional to 628,391,928 and 1,333,382,012 is: 2,829,297,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,391,928 : 1,333,382,012 = 1,333,382,012 : x
  2. Step 2: Convert to fraction form
    628,391,928/1,333,382,012 = 1,333,382,012/x
  3. Step 3: Cross multiply
    628,391,928x = 1,333,382,012 × 1,333,382,012
  4. Step 4: Simplify right side
    628,391,928x = 1,777,907,589,925,168,128
  5. Step 5: Solve for x
    x = 1,777,907,589,925,168,128/628,391,928
  6. Step 6: Final answer
    x = 2,829,297,307.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.