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Finding the Third Proportional to 3,283,443,992 and 7,223,570,304

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Solution

The third proportional to 3,283,443,992 and 7,223,570,304 is: 15,891,840,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283,443,992 : 7,223,570,304 = 7,223,570,304 : x
  2. Step 2: Convert to fraction form
    3,283,443,992/7,223,570,304 = 7,223,570,304/x
  3. Step 3: Cross multiply
    3,283,443,992x = 7,223,570,304 × 7,223,570,304
  4. Step 4: Simplify right side
    3,283,443,992x = 52,179,967,936,830,652,416
  5. Step 5: Solve for x
    x = 52,179,967,936,830,652,416/3,283,443,992
  6. Step 6: Final answer
    x = 15,891,840,416.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.