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Finding the Third Proportional to 6,420,764 and 13,372,968

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Solution

The third proportional to 6,420,764 and 13,372,968 is: 27,852,802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420,764 : 13,372,968 = 13,372,968 : x
  2. Step 2: Convert to fraction form
    6,420,764/13,372,968 = 13,372,968/x
  3. Step 3: Cross multiply
    6,420,764x = 13,372,968 × 13,372,968
  4. Step 4: Simplify right side
    6,420,764x = 178,836,273,129,024
  5. Step 5: Solve for x
    x = 178,836,273,129,024/6,420,764
  6. Step 6: Final answer
    x = 27,852,802.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.