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Finding the Third Proportional to 7,727,400 and 16,782,228

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Solution

The third proportional to 7,727,400 and 16,782,228 is: 36,447,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727,400 : 16,782,228 = 16,782,228 : x
  2. Step 2: Convert to fraction form
    7,727,400/16,782,228 = 16,782,228/x
  3. Step 3: Cross multiply
    7,727,400x = 16,782,228 × 16,782,228
  4. Step 4: Simplify right side
    7,727,400x = 281,643,176,643,984
  5. Step 5: Solve for x
    x = 281,643,176,643,984/7,727,400
  6. Step 6: Final answer
    x = 36,447,340.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.