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Finding the Third Proportional to 20,068,800 and 30,148,416

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Solution

The third proportional to 20,068,800 and 30,148,416 is: 45,290,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,068,800 : 30,148,416 = 30,148,416 : x
  2. Step 2: Convert to fraction form
    20,068,800/30,148,416 = 30,148,416/x
  3. Step 3: Cross multiply
    20,068,800x = 30,148,416 × 30,148,416
  4. Step 4: Simplify right side
    20,068,800x = 908,926,987,309,056
  5. Step 5: Solve for x
    x = 908,926,987,309,056/20,068,800
  6. Step 6: Final answer
    x = 45,290,549.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.