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Finding the Third Proportional to 9,167,846,987 and 19,642,640,962

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Solution

The third proportional to 9,167,846,987 and 19,642,640,962 is: 42,085,491,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167,846,987 : 19,642,640,962 = 19,642,640,962 : x
  2. Step 2: Convert to fraction form
    9,167,846,987/19,642,640,962 = 19,642,640,962/x
  3. Step 3: Cross multiply
    9,167,846,987x = 19,642,640,962 × 19,642,640,962
  4. Step 4: Simplify right side
    9,167,846,987x = 385,833,343,962,040,303,616
  5. Step 5: Solve for x
    x = 385,833,343,962,040,303,616/9,167,846,987
  6. Step 6: Final answer
    x = 42,085,491,229.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.