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Finding the Third Proportional to 4,065,394 and 8,027,972

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Solution

The third proportional to 4,065,394 and 8,027,972 is: 15,852,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065,394 : 8,027,972 = 8,027,972 : x
  2. Step 2: Convert to fraction form
    4,065,394/8,027,972 = 8,027,972/x
  3. Step 3: Cross multiply
    4,065,394x = 8,027,972 × 8,027,972
  4. Step 4: Simplify right side
    4,065,394x = 64,448,334,432,784
  5. Step 5: Solve for x
    x = 64,448,334,432,784/4,065,394
  6. Step 6: Final answer
    x = 15,852,912.27

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.