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Finding the Third Proportional to 46,297,166 and 68,166,669

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Solution

The third proportional to 46,297,166 and 68,166,669 is: 100,366,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,297,166 : 68,166,669 = 68,166,669 : x
  2. Step 2: Convert to fraction form
    46,297,166/68,166,669 = 68,166,669/x
  3. Step 3: Cross multiply
    46,297,166x = 68,166,669 × 68,166,669
  4. Step 4: Simplify right side
    46,297,166x = 4,646,694,762,555,561
  5. Step 5: Solve for x
    x = 4,646,694,762,555,561/46,297,166
  6. Step 6: Final answer
    x = 100,366,721.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.