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Finding the Third Proportional to 6,856,896 and 14,745,732

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Solution

The third proportional to 6,856,896 and 14,745,732 is: 31,710,647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856,896 : 14,745,732 = 14,745,732 : x
  2. Step 2: Convert to fraction form
    6,856,896/14,745,732 = 14,745,732/x
  3. Step 3: Cross multiply
    6,856,896x = 14,745,732 × 14,745,732
  4. Step 4: Simplify right side
    6,856,896x = 217,436,612,215,824
  5. Step 5: Solve for x
    x = 217,436,612,215,824/6,856,896
  6. Step 6: Final answer
    x = 31,710,647.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.