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Finding the Third Proportional to 4,682,117,025 and 6,764,850,515

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Solution

The third proportional to 4,682,117,025 and 6,764,850,515 is: 9,774,040,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682,117,025 : 6,764,850,515 = 6,764,850,515 : x
  2. Step 2: Convert to fraction form
    4,682,117,025/6,764,850,515 = 6,764,850,515/x
  3. Step 3: Cross multiply
    4,682,117,025x = 6,764,850,515 × 6,764,850,515
  4. Step 4: Simplify right side
    4,682,117,025x = 45,763,202,490,295,762,944
  5. Step 5: Solve for x
    x = 45,763,202,490,295,762,944/4,682,117,025
  6. Step 6: Final answer
    x = 9,774,040,726.86

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Why These Related Problems?

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