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Finding the Third Proportional to 3,910,306.50 and 8,178,129

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Solution

The third proportional to 3,910,306.50 and 8,178,129 is: 17,103,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910,306.50 : 8,178,129 = 8,178,129 : x
  2. Step 2: Convert to fraction form
    3,910,306.50/8,178,129 = 8,178,129/x
  3. Step 3: Cross multiply
    3,910,306.50x = 8,178,129 × 8,178,129
  4. Step 4: Simplify right side
    3,910,306.50x = 66,881,793,940,641
  5. Step 5: Solve for x
    x = 66,881,793,940,641/3,910,306.50
  6. Step 6: Final answer
    x = 17,103,977.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.