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Finding the Third Proportional to 3,033,600 and 6,553,728

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Solution

The third proportional to 3,033,600 and 6,553,728 is: 14,158,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033,600 : 6,553,728 = 6,553,728 : x
  2. Step 2: Convert to fraction form
    3,033,600/6,553,728 = 6,553,728/x
  3. Step 3: Cross multiply
    3,033,600x = 6,553,728 × 6,553,728
  4. Step 4: Simplify right side
    3,033,600x = 42,951,350,697,984
  5. Step 5: Solve for x
    x = 42,951,350,697,984/3,033,600
  6. Step 6: Final answer
    x = 14,158,541.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.