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Finding the Third Proportional to 9,893,198.25 and 15,288,257.25

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Solution

The third proportional to 9,893,198.25 and 15,288,257.25 is: 23,625,404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893,198.25 : 15,288,257.25 = 15,288,257.25 : x
  2. Step 2: Convert to fraction form
    9,893,198.25/15,288,257.25 = 15,288,257.25/x
  3. Step 3: Cross multiply
    9,893,198.25x = 15,288,257.25 × 15,288,257.25
  4. Step 4: Simplify right side
    9,893,198.25x = 233,730,809,742,177.56
  5. Step 5: Solve for x
    x = 233,730,809,742,177.56/9,893,198.25
  6. Step 6: Final answer
    x = 23,625,404.43

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1.5x scale

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.