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Finding the Third Proportional to 3,513,600 and 7,669,728

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Solution

The third proportional to 3,513,600 and 7,669,728 is: 16,742,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513,600 : 7,669,728 = 7,669,728 : x
  2. Step 2: Convert to fraction form
    3,513,600/7,669,728 = 7,669,728/x
  3. Step 3: Cross multiply
    3,513,600x = 7,669,728 × 7,669,728
  4. Step 4: Simplify right side
    3,513,600x = 58,824,727,593,984
  5. Step 5: Solve for x
    x = 58,824,727,593,984/3,513,600
  6. Step 6: Final answer
    x = 16,742,010.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.