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Finding the Third Proportional to 6,368,546 and 13,327,582

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Solution

The third proportional to 6,368,546 and 13,327,582 is: 27,890,894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368,546 : 13,327,582 = 13,327,582 : x
  2. Step 2: Convert to fraction form
    6,368,546/13,327,582 = 13,327,582/x
  3. Step 3: Cross multiply
    6,368,546x = 13,327,582 × 13,327,582
  4. Step 4: Simplify right side
    6,368,546x = 177,624,441,966,724
  5. Step 5: Solve for x
    x = 177,624,441,966,724/6,368,546
  6. Step 6: Final answer
    x = 27,890,894.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.