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Finding the Third Proportional to 4,119,142 and 8,614,719

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Solution

The third proportional to 4,119,142 and 8,614,719 is: 18,016,709.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119,142 : 8,614,719 = 8,614,719 : x
  2. Step 2: Convert to fraction form
    4,119,142/8,614,719 = 8,614,719/x
  3. Step 3: Cross multiply
    4,119,142x = 8,614,719 × 8,614,719
  4. Step 4: Simplify right side
    4,119,142x = 74,213,383,448,961
  5. Step 5: Solve for x
    x = 74,213,383,448,961/4,119,142
  6. Step 6: Final answer
    x = 18,016,709.17

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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.