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Finding the Third Proportional to 6,934,744.50 and 9,201,615.75

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Solution

The third proportional to 6,934,744.50 and 9,201,615.75 is: 12,209,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934,744.50 : 9,201,615.75 = 9,201,615.75 : x
  2. Step 2: Convert to fraction form
    6,934,744.50/9,201,615.75 = 9,201,615.75/x
  3. Step 3: Cross multiply
    6,934,744.50x = 9,201,615.75 × 9,201,615.75
  4. Step 4: Simplify right side
    6,934,744.50x = 84,669,732,410,648.06
  5. Step 5: Solve for x
    x = 84,669,732,410,648.06/6,934,744.50
  6. Step 6: Final answer
    x = 12,209,495.59

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.