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Finding the Third Proportional to 16,493,844 and 34,119,096

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Solution

The third proportional to 16,493,844 and 34,119,096 is: 70,578,617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493,844 : 34,119,096 = 34,119,096 : x
  2. Step 2: Convert to fraction form
    16,493,844/34,119,096 = 34,119,096/x
  3. Step 3: Cross multiply
    16,493,844x = 34,119,096 × 34,119,096
  4. Step 4: Simplify right side
    16,493,844x = 1,164,112,711,857,216
  5. Step 5: Solve for x
    x = 1,164,112,711,857,216/16,493,844
  6. Step 6: Final answer
    x = 70,578,617.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.