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Finding the Third Proportional to 13,452,796,464 and 31,431,803,880

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Solution

The third proportional to 13,452,796,464 and 31,431,803,880 is: 73,438,879,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452,796,464 : 31,431,803,880 = 31,431,803,880 : x
  2. Step 2: Convert to fraction form
    13,452,796,464/31,431,803,880 = 31,431,803,880/x
  3. Step 3: Cross multiply
    13,452,796,464x = 31,431,803,880 × 31,431,803,880
  4. Step 4: Simplify right side
    13,452,796,464x = 987,958,295,150,783,102,976
  5. Step 5: Solve for x
    x = 987,958,295,150,783,102,976/13,452,796,464
  6. Step 6: Final answer
    x = 73,438,879,254.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.