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Finding the Third Proportional to 3,208,512 and 6,849,996

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Solution

The third proportional to 3,208,512 and 6,849,996 is: 14,624,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208,512 : 6,849,996 = 6,849,996 : x
  2. Step 2: Convert to fraction form
    3,208,512/6,849,996 = 6,849,996/x
  3. Step 3: Cross multiply
    3,208,512x = 6,849,996 × 6,849,996
  4. Step 4: Simplify right side
    3,208,512x = 46,922,445,200,016
  5. Step 5: Solve for x
    x = 46,922,445,200,016/3,208,512
  6. Step 6: Final answer
    x = 14,624,363.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.