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Finding the Third Proportional to 73,651,646 and 110,784,966

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Solution

The third proportional to 73,651,646 and 110,784,966 is: 166,639,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,651,646 : 110,784,966 = 110,784,966 : x
  2. Step 2: Convert to fraction form
    73,651,646/110,784,966 = 110,784,966/x
  3. Step 3: Cross multiply
    73,651,646x = 110,784,966 × 110,784,966
  4. Step 4: Simplify right side
    73,651,646x = 12,273,308,691,621,156
  5. Step 5: Solve for x
    x = 12,273,308,691,621,156/73,651,646
  6. Step 6: Final answer
    x = 166,639,978.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.