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Finding the Third Proportional to 2,707,994.53 and 5,842,573.03

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Solution

The third proportional to 2,707,994.53 and 5,842,573.03 is: 12,605,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707,994.53 : 5,842,573.03 = 5,842,573.03 : x
  2. Step 2: Convert to fraction form
    2,707,994.53/5,842,573.03 = 5,842,573.03/x
  3. Step 3: Cross multiply
    2,707,994.53x = 5,842,573.03 × 5,842,573.03
  4. Step 4: Simplify right side
    2,707,994.53x = 34,135,659,625,489.81
  5. Step 5: Solve for x
    x = 34,135,659,625,489.81/2,707,994.53
  6. Step 6: Final answer
    x = 12,605,512.76

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Why These Related Problems?

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