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Finding the Third Proportional to 4,190,682,340 and 9,125,382,078

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Solution

The third proportional to 4,190,682,340 and 9,125,382,078 is: 19,870,892,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,682,340 : 9,125,382,078 = 9,125,382,078 : x
  2. Step 2: Convert to fraction form
    4,190,682,340/9,125,382,078 = 9,125,382,078/x
  3. Step 3: Cross multiply
    4,190,682,340x = 9,125,382,078 × 9,125,382,078
  4. Step 4: Simplify right side
    4,190,682,340x = 83,272,598,069,483,601,920
  5. Step 5: Solve for x
    x = 83,272,598,069,483,601,920/4,190,682,340
  6. Step 6: Final answer
    x = 19,870,892,449.82

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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.