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Finding the Third Proportional to 9,302,016 and 19,729,824

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Solution

The third proportional to 9,302,016 and 19,729,824 is: 41,847,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302,016 : 19,729,824 = 19,729,824 : x
  2. Step 2: Convert to fraction form
    9,302,016/19,729,824 = 19,729,824/x
  3. Step 3: Cross multiply
    9,302,016x = 19,729,824 × 19,729,824
  4. Step 4: Simplify right side
    9,302,016x = 389,265,955,070,976
  5. Step 5: Solve for x
    x = 389,265,955,070,976/9,302,016
  6. Step 6: Final answer
    x = 41,847,482.85

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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.