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Finding the Third Proportional to 6,430,759 and 13,794,002

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Solution

The third proportional to 6,430,759 and 13,794,002 is: 29,588,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,759 : 13,794,002 = 13,794,002 : x
  2. Step 2: Convert to fraction form
    6,430,759/13,794,002 = 13,794,002/x
  3. Step 3: Cross multiply
    6,430,759x = 13,794,002 × 13,794,002
  4. Step 4: Simplify right side
    6,430,759x = 190,274,491,176,004
  5. Step 5: Solve for x
    x = 190,274,491,176,004/6,430,759
  6. Step 6: Final answer
    x = 29,588,185.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.