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Finding the Third Proportional to 34,947,171 and 54,702,345

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Solution

The third proportional to 34,947,171 and 54,702,345 is: 85,624,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,947,171 : 54,702,345 = 54,702,345 : x
  2. Step 2: Convert to fraction form
    34,947,171/54,702,345 = 54,702,345/x
  3. Step 3: Cross multiply
    34,947,171x = 54,702,345 × 54,702,345
  4. Step 4: Simplify right side
    34,947,171x = 2,992,346,548,499,025
  5. Step 5: Solve for x
    x = 2,992,346,548,499,025/34,947,171
  6. Step 6: Final answer
    x = 85,624,857.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.