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Finding the Third Proportional to 11,357,187.19 and 17,619,163.03

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Solution

The third proportional to 11,357,187.19 and 17,619,163.03 is: 27,333,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357,187.19 : 17,619,163.03 = 17,619,163.03 : x
  2. Step 2: Convert to fraction form
    11,357,187.19/17,619,163.03 = 17,619,163.03/x
  3. Step 3: Cross multiply
    11,357,187.19x = 17,619,163.03 × 17,619,163.03
  4. Step 4: Simplify right side
    11,357,187.19x = 310,434,905,921,766.69
  5. Step 5: Solve for x
    x = 310,434,905,921,766.69/11,357,187.19
  6. Step 6: Final answer
    x = 27,333,784.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.