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Finding the Third Proportional to 2,502,753,367.50 and 3,786,341,274

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Solution

The third proportional to 2,502,753,367.50 and 3,786,341,274 is: 5,728,243,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502,753,367.50 : 3,786,341,274 = 3,786,341,274 : x
  2. Step 2: Convert to fraction form
    2,502,753,367.50/3,786,341,274 = 3,786,341,274/x
  3. Step 3: Cross multiply
    2,502,753,367.50x = 3,786,341,274 × 3,786,341,274
  4. Step 4: Simplify right side
    2,502,753,367.50x = 14,336,380,243,195,942,912
  5. Step 5: Solve for x
    x = 14,336,380,243,195,942,912/2,502,753,367.50
  6. Step 6: Final answer
    x = 5,728,243,313.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.