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Finding the Third Proportional to 3,384,801 and 7,143,214.50

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Solution

The third proportional to 3,384,801 and 7,143,214.50 is: 15,074,893.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384,801 : 7,143,214.50 = 7,143,214.50 : x
  2. Step 2: Convert to fraction form
    3,384,801/7,143,214.50 = 7,143,214.50/x
  3. Step 3: Cross multiply
    3,384,801x = 7,143,214.50 × 7,143,214.50
  4. Step 4: Simplify right side
    3,384,801x = 51,025,513,393,010.25
  5. Step 5: Solve for x
    x = 51,025,513,393,010.25/3,384,801
  6. Step 6: Final answer
    x = 15,074,893.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.