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Finding the Third Proportional to 11,651,140.13 and 17,476,720.88

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Solution

The third proportional to 11,651,140.13 and 17,476,720.88 is: 26,215,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651,140.13 : 17,476,720.88 = 17,476,720.88 : x
  2. Step 2: Convert to fraction form
    11,651,140.13/17,476,720.88 = 17,476,720.88/x
  3. Step 3: Cross multiply
    11,651,140.13x = 17,476,720.88 × 17,476,720.88
  4. Step 4: Simplify right side
    11,651,140.13x = 305,435,772,542,660.75
  5. Step 5: Solve for x
    x = 305,435,772,542,660.75/11,651,140.13
  6. Step 6: Final answer
    x = 26,215,097.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.