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Finding the Third Proportional to 46,297,154 and 68,166,651

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Solution

The third proportional to 46,297,154 and 68,166,651 is: 100,366,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,297,154 : 68,166,651 = 68,166,651 : x
  2. Step 2: Convert to fraction form
    46,297,154/68,166,651 = 68,166,651/x
  3. Step 3: Cross multiply
    46,297,154x = 68,166,651 × 68,166,651
  4. Step 4: Simplify right side
    46,297,154x = 4,646,692,308,555,801
  5. Step 5: Solve for x
    x = 4,646,692,308,555,801/46,297,154
  6. Step 6: Final answer
    x = 100,366,694.43

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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.