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Finding the Third Proportional to 628,391,938 and 1,333,382,032

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Solution

The third proportional to 628,391,938 and 1,333,382,032 is: 2,829,297,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,391,938 : 1,333,382,032 = 1,333,382,032 : x
  2. Step 2: Convert to fraction form
    628,391,938/1,333,382,032 = 1,333,382,032/x
  3. Step 3: Cross multiply
    628,391,938x = 1,333,382,032 × 1,333,382,032
  4. Step 4: Simplify right side
    628,391,938x = 1,777,907,643,260,449,024
  5. Step 5: Solve for x
    x = 1,777,907,643,260,449,024/628,391,938
  6. Step 6: Final answer
    x = 2,829,297,347.32

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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.