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Finding the Third Proportional to 47,765,894 and 104,474,932

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Solution

The third proportional to 47,765,894 and 104,474,932 is: 228,510,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,765,894 : 104,474,932 = 104,474,932 : x
  2. Step 2: Convert to fraction form
    47,765,894/104,474,932 = 104,474,932/x
  3. Step 3: Cross multiply
    47,765,894x = 104,474,932 × 104,474,932
  4. Step 4: Simplify right side
    47,765,894x = 10,915,011,416,404,624
  5. Step 5: Solve for x
    x = 10,915,011,416,404,624/47,765,894
  6. Step 6: Final answer
    x = 228,510,564.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.