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Finding the Third Proportional to 382,030,105.50 and 818,569,971

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Solution

The third proportional to 382,030,105.50 and 818,569,971 is: 1,753,937,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,030,105.50 : 818,569,971 = 818,569,971 : x
  2. Step 2: Convert to fraction form
    382,030,105.50/818,569,971 = 818,569,971/x
  3. Step 3: Cross multiply
    382,030,105.50x = 818,569,971 × 818,569,971
  4. Step 4: Simplify right side
    382,030,105.50x = 670,056,797,422,940,800
  5. Step 5: Solve for x
    x = 670,056,797,422,940,800/382,030,105.50
  6. Step 6: Final answer
    x = 1,753,937,157.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.