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Finding the Third Proportional to 9,161,647,707,728 and 19,931,807,295,280

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Solution

The third proportional to 9,161,647,707,728 and 19,931,807,295,280 is: 43,363,045,025,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161,647,707,728 : 19,931,807,295,280 = 19,931,807,295,280 : x
  2. Step 2: Convert to fraction form
    9,161,647,707,728/19,931,807,295,280 = 19,931,807,295,280/x
  3. Step 3: Cross multiply
    9,161,647,707,728x = 19,931,807,295,280 × 19,931,807,295,280
  4. Step 4: Simplify right side
    9,161,647,707,728x = 397,276,942,056,177,035,617,763,328
  5. Step 5: Solve for x
    x = 397,276,942,056,177,035,617,763,328/9,161,647,707,728
  6. Step 6: Final answer
    x = 43,363,045,025,303.41

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Why These Related Problems?

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