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Finding the Third Proportional to 46,078,676 and 98,995,576

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Solution

The third proportional to 46,078,676 and 98,995,576 is: 212,682,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,078,676 : 98,995,576 = 98,995,576 : x
  2. Step 2: Convert to fraction form
    46,078,676/98,995,576 = 98,995,576/x
  3. Step 3: Cross multiply
    46,078,676x = 98,995,576 × 98,995,576
  4. Step 4: Simplify right side
    46,078,676x = 9,800,124,067,571,776
  5. Step 5: Solve for x
    x = 9,800,124,067,571,776/46,078,676
  6. Step 6: Final answer
    x = 212,682,414.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.