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Finding the Third Proportional to 9,604,523.25 and 20,964,251.25

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Solution

The third proportional to 9,604,523.25 and 20,964,251.25 is: 45,759,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604,523.25 : 20,964,251.25 = 20,964,251.25 : x
  2. Step 2: Convert to fraction form
    9,604,523.25/20,964,251.25 = 20,964,251.25/x
  3. Step 3: Cross multiply
    9,604,523.25x = 20,964,251.25 × 20,964,251.25
  4. Step 4: Simplify right side
    9,604,523.25x = 439,499,830,473,126.56
  5. Step 5: Solve for x
    x = 439,499,830,473,126.56/9,604,523.25
  6. Step 6: Final answer
    x = 45,759,671.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.