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Finding the Third Proportional to 5,809,784 and 13,500,620

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Solution

The third proportional to 5,809,784 and 13,500,620 is: 31,372,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809,784 : 13,500,620 = 13,500,620 : x
  2. Step 2: Convert to fraction form
    5,809,784/13,500,620 = 13,500,620/x
  3. Step 3: Cross multiply
    5,809,784x = 13,500,620 × 13,500,620
  4. Step 4: Simplify right side
    5,809,784x = 182,266,740,384,400
  5. Step 5: Solve for x
    x = 182,266,740,384,400/5,809,784
  6. Step 6: Final answer
    x = 31,372,378.11

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.