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Finding the Third Proportional to 5,684,960 and 8,747,013

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Solution

The third proportional to 5,684,960 and 8,747,013 is: 13,458,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684,960 : 8,747,013 = 8,747,013 : x
  2. Step 2: Convert to fraction form
    5,684,960/8,747,013 = 8,747,013/x
  3. Step 3: Cross multiply
    5,684,960x = 8,747,013 × 8,747,013
  4. Step 4: Simplify right side
    5,684,960x = 76,510,236,422,169
  5. Step 5: Solve for x
    x = 76,510,236,422,169/5,684,960
  6. Step 6: Final answer
    x = 13,458,359.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.