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Finding the Third Proportional to 4,682,117,021.34 and 6,764,850,509.20

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Solution

The third proportional to 4,682,117,021.34 and 6,764,850,509.20 is: 9,774,040,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682,117,021.34 : 6,764,850,509.20 = 6,764,850,509.20 : x
  2. Step 2: Convert to fraction form
    4,682,117,021.34/6,764,850,509.20 = 6,764,850,509.20/x
  3. Step 3: Cross multiply
    4,682,117,021.34x = 6,764,850,509.20 × 6,764,850,509.20
  4. Step 4: Simplify right side
    4,682,117,021.34x = 45,763,202,411,861,377,024
  5. Step 5: Solve for x
    x = 45,763,202,411,861,377,024/4,682,117,021.34
  6. Step 6: Final answer
    x = 9,774,040,717.75

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.