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Finding the Third Proportional to 9,532,080 and 20,741,472

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Solution

The third proportional to 9,532,080 and 20,741,472 is: 45,132,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532,080 : 20,741,472 = 20,741,472 : x
  2. Step 2: Convert to fraction form
    9,532,080/20,741,472 = 20,741,472/x
  3. Step 3: Cross multiply
    9,532,080x = 20,741,472 × 20,741,472
  4. Step 4: Simplify right side
    9,532,080x = 430,208,660,726,784
  5. Step 5: Solve for x
    x = 430,208,660,726,784/9,532,080
  6. Step 6: Final answer
    x = 45,132,716.13

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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.