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Finding the Third Proportional to 6,707,165 and 14,548,563

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Solution

The third proportional to 6,707,165 and 14,548,563 is: 31,557,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707,165 : 14,548,563 = 14,548,563 : x
  2. Step 2: Convert to fraction form
    6,707,165/14,548,563 = 14,548,563/x
  3. Step 3: Cross multiply
    6,707,165x = 14,548,563 × 14,548,563
  4. Step 4: Simplify right side
    6,707,165x = 211,660,685,364,969
  5. Step 5: Solve for x
    x = 211,660,685,364,969/6,707,165
  6. Step 6: Final answer
    x = 31,557,399.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.