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Finding the Third Proportional to 4,320,409,320 and 9,425,819,196

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Solution

The third proportional to 4,320,409,320 and 9,425,819,196 is: 20,564,270,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320,409,320 : 9,425,819,196 = 9,425,819,196 : x
  2. Step 2: Convert to fraction form
    4,320,409,320/9,425,819,196 = 9,425,819,196/x
  3. Step 3: Cross multiply
    4,320,409,320x = 9,425,819,196 × 9,425,819,196
  4. Step 4: Simplify right side
    4,320,409,320x = 88,846,067,515,682,078,720
  5. Step 5: Solve for x
    x = 88,846,067,515,682,078,720/4,320,409,320
  6. Step 6: Final answer
    x = 20,564,270,867.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.