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Finding the Third Proportional to 4,727,432 and 11,397,596

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Solution

The third proportional to 4,727,432 and 11,397,596 is: 27,479,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727,432 : 11,397,596 = 11,397,596 : x
  2. Step 2: Convert to fraction form
    4,727,432/11,397,596 = 11,397,596/x
  3. Step 3: Cross multiply
    4,727,432x = 11,397,596 × 11,397,596
  4. Step 4: Simplify right side
    4,727,432x = 129,905,194,579,216
  5. Step 5: Solve for x
    x = 129,905,194,579,216/4,727,432
  6. Step 6: Final answer
    x = 27,479,019.18

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.