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Finding the Third Proportional to 9,589,754 and 20,544,196

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Solution

The third proportional to 9,589,754 and 20,544,196 is: 44,011,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589,754 : 20,544,196 = 20,544,196 : x
  2. Step 2: Convert to fraction form
    9,589,754/20,544,196 = 20,544,196/x
  3. Step 3: Cross multiply
    9,589,754x = 20,544,196 × 20,544,196
  4. Step 4: Simplify right side
    9,589,754x = 422,063,989,286,416
  5. Step 5: Solve for x
    x = 422,063,989,286,416/9,589,754
  6. Step 6: Final answer
    x = 44,011,972.50

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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.