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Finding the Third Proportional to 5,659,133.63 and 12,275,275.13

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Solution

The third proportional to 5,659,133.63 and 12,275,275.13 is: 26,626,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659,133.63 : 12,275,275.13 = 12,275,275.13 : x
  2. Step 2: Convert to fraction form
    5,659,133.63/12,275,275.13 = 12,275,275.13/x
  3. Step 3: Cross multiply
    5,659,133.63x = 12,275,275.13 × 12,275,275.13
  4. Step 4: Simplify right side
    5,659,133.63x = 150,682,379,394,443.75
  5. Step 5: Solve for x
    x = 150,682,379,394,443.75/5,659,133.63
  6. Step 6: Final answer
    x = 26,626,404.21

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Why These Related Problems?

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