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Finding the Third Proportional to 7,890,780 and 16,980,036

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Solution

The third proportional to 7,890,780 and 16,980,036 is: 36,539,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890,780 : 16,980,036 = 16,980,036 : x
  2. Step 2: Convert to fraction form
    7,890,780/16,980,036 = 16,980,036/x
  3. Step 3: Cross multiply
    7,890,780x = 16,980,036 × 16,980,036
  4. Step 4: Simplify right side
    7,890,780x = 288,321,622,561,296
  5. Step 5: Solve for x
    x = 288,321,622,561,296/7,890,780
  6. Step 6: Final answer
    x = 36,539,052.23

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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.