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Finding the Third Proportional to 628,391,926 and 1,333,382,008

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Solution

The third proportional to 628,391,926 and 1,333,382,008 is: 2,829,297,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,391,926 : 1,333,382,008 = 1,333,382,008 : x
  2. Step 2: Convert to fraction form
    628,391,926/1,333,382,008 = 1,333,382,008/x
  3. Step 3: Cross multiply
    628,391,926x = 1,333,382,008 × 1,333,382,008
  4. Step 4: Simplify right side
    628,391,926x = 1,777,907,579,258,112,000
  5. Step 5: Solve for x
    x = 1,777,907,579,258,112,000/628,391,926
  6. Step 6: Final answer
    x = 2,829,297,299.50

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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.