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Finding the Third Proportional to 3,252,820 and 6,871,844

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Solution

The third proportional to 3,252,820 and 6,871,844 is: 14,517,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252,820 : 6,871,844 = 6,871,844 : x
  2. Step 2: Convert to fraction form
    3,252,820/6,871,844 = 6,871,844/x
  3. Step 3: Cross multiply
    3,252,820x = 6,871,844 × 6,871,844
  4. Step 4: Simplify right side
    3,252,820x = 47,222,239,960,336
  5. Step 5: Solve for x
    x = 47,222,239,960,336/3,252,820
  6. Step 6: Final answer
    x = 14,517,323.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.