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Finding the Third Proportional to 2,743,360.31 and 6,029,742.09

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Solution

The third proportional to 2,743,360.31 and 6,029,742.09 is: 13,253,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743,360.31 : 6,029,742.09 = 6,029,742.09 : x
  2. Step 2: Convert to fraction form
    2,743,360.31/6,029,742.09 = 6,029,742.09/x
  3. Step 3: Cross multiply
    2,743,360.31x = 6,029,742.09 × 6,029,742.09
  4. Step 4: Simplify right side
    2,743,360.31x = 36,357,789,717,140.63
  5. Step 5: Solve for x
    x = 36,357,789,717,140.63/2,743,360.31
  6. Step 6: Final answer
    x = 13,253,012.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.