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Finding the Third Proportional to 6,856,656 and 14,624,562

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Solution

The third proportional to 6,856,656 and 14,624,562 is: 31,192,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856,656 : 14,624,562 = 14,624,562 : x
  2. Step 2: Convert to fraction form
    6,856,656/14,624,562 = 14,624,562/x
  3. Step 3: Cross multiply
    6,856,656x = 14,624,562 × 14,624,562
  4. Step 4: Simplify right side
    6,856,656x = 213,877,813,691,844
  5. Step 5: Solve for x
    x = 213,877,813,691,844/6,856,656
  6. Step 6: Final answer
    x = 31,192,729.18

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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.