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Finding the Third Proportional to 2,729,502.56 and 5,842,423.69

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Solution

The third proportional to 2,729,502.56 and 5,842,423.69 is: 12,505,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729,502.56 : 5,842,423.69 = 5,842,423.69 : x
  2. Step 2: Convert to fraction form
    2,729,502.56/5,842,423.69 = 5,842,423.69/x
  3. Step 3: Cross multiply
    2,729,502.56x = 5,842,423.69 × 5,842,423.69
  4. Step 4: Simplify right side
    2,729,502.56x = 34,133,914,544,261.10
  5. Step 5: Solve for x
    x = 34,133,914,544,261.10/2,729,502.56
  6. Step 6: Final answer
    x = 12,505,544.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.