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Finding the Third Proportional to 2,646,558.56 and 5,741,128.13

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Solution

The third proportional to 2,646,558.56 and 5,741,128.13 is: 12,454,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646,558.56 : 5,741,128.13 = 5,741,128.13 : x
  2. Step 2: Convert to fraction form
    2,646,558.56/5,741,128.13 = 5,741,128.13/x
  3. Step 3: Cross multiply
    2,646,558.56x = 5,741,128.13 × 5,741,128.13
  4. Step 4: Simplify right side
    2,646,558.56x = 32,960,552,147,666.02
  5. Step 5: Solve for x
    x = 32,960,552,147,666.02/2,646,558.56
  6. Step 6: Final answer
    x = 12,454,117.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.