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Finding the Third Proportional to 6,781,325.06 and 14,650,380.56

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Solution

The third proportional to 6,781,325.06 and 14,650,380.56 is: 31,650,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781,325.06 : 14,650,380.56 = 14,650,380.56 : x
  2. Step 2: Convert to fraction form
    6,781,325.06/14,650,380.56 = 14,650,380.56/x
  3. Step 3: Cross multiply
    6,781,325.06x = 14,650,380.56 × 14,650,380.56
  4. Step 4: Simplify right side
    6,781,325.06x = 214,633,650,626,077.81
  5. Step 5: Solve for x
    x = 214,633,650,626,077.81/6,781,325.06
  6. Step 6: Final answer
    x = 31,650,694.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.