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Finding the Third Proportional to 4,005,848 and 6,109,668

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Solution

The third proportional to 4,005,848 and 6,109,668 is: 9,318,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005,848 : 6,109,668 = 6,109,668 : x
  2. Step 2: Convert to fraction form
    4,005,848/6,109,668 = 6,109,668/x
  3. Step 3: Cross multiply
    4,005,848x = 6,109,668 × 6,109,668
  4. Step 4: Simplify right side
    4,005,848x = 37,328,043,070,224
  5. Step 5: Solve for x
    x = 37,328,043,070,224/4,005,848
  6. Step 6: Final answer
    x = 9,318,387.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.