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Finding the Third Proportional to 34,027,195 and 74,667,854

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Solution

The third proportional to 34,027,195 and 74,667,854 is: 163,848,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,027,195 : 74,667,854 = 74,667,854 : x
  2. Step 2: Convert to fraction form
    34,027,195/74,667,854 = 74,667,854/x
  3. Step 3: Cross multiply
    34,027,195x = 74,667,854 × 74,667,854
  4. Step 4: Simplify right side
    34,027,195x = 5,575,288,420,965,316
  5. Step 5: Solve for x
    x = 5,575,288,420,965,316/34,027,195
  6. Step 6: Final answer
    x = 163,848,016.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.