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Finding the Third Proportional to 7,907,949 and 16,288,168.50

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Solution

The third proportional to 7,907,949 and 16,288,168.50 is: 33,549,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907,949 : 16,288,168.50 = 16,288,168.50 : x
  2. Step 2: Convert to fraction form
    7,907,949/16,288,168.50 = 16,288,168.50/x
  3. Step 3: Cross multiply
    7,907,949x = 16,288,168.50 × 16,288,168.50
  4. Step 4: Simplify right side
    7,907,949x = 265,304,433,084,392.25
  5. Step 5: Solve for x
    x = 265,304,433,084,392.25/7,907,949
  6. Step 6: Final answer
    x = 33,549,082.46

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.