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Finding the Third Proportional to 3,188,415 and 6,510,657

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Solution

The third proportional to 3,188,415 and 6,510,657 is: 13,294,585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,415 : 6,510,657 = 6,510,657 : x
  2. Step 2: Convert to fraction form
    3,188,415/6,510,657 = 6,510,657/x
  3. Step 3: Cross multiply
    3,188,415x = 6,510,657 × 6,510,657
  4. Step 4: Simplify right side
    3,188,415x = 42,388,654,571,649
  5. Step 5: Solve for x
    x = 42,388,654,571,649/3,188,415
  6. Step 6: Final answer
    x = 13,294,585.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.