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Finding the Third Proportional to 3,393,969,402.75 and 7,306,642,980

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Solution

The third proportional to 3,393,969,402.75 and 7,306,642,980 is: 15,729,968,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393,969,402.75 : 7,306,642,980 = 7,306,642,980 : x
  2. Step 2: Convert to fraction form
    3,393,969,402.75/7,306,642,980 = 7,306,642,980/x
  3. Step 3: Cross multiply
    3,393,969,402.75x = 7,306,642,980 × 7,306,642,980
  4. Step 4: Simplify right side
    3,393,969,402.75x = 53,387,031,637,183,283,200
  5. Step 5: Solve for x
    x = 53,387,031,637,183,283,200/3,393,969,402.75
  6. Step 6: Final answer
    x = 15,729,968,453.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.