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Finding the Third Proportional to 6,823,635 and 14,592,054

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Solution

The third proportional to 6,823,635 and 14,592,054 is: 31,204,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823,635 : 14,592,054 = 14,592,054 : x
  2. Step 2: Convert to fraction form
    6,823,635/14,592,054 = 14,592,054/x
  3. Step 3: Cross multiply
    6,823,635x = 14,592,054 × 14,592,054
  4. Step 4: Simplify right side
    6,823,635x = 212,928,039,938,916
  5. Step 5: Solve for x
    x = 212,928,039,938,916/6,823,635
  6. Step 6: Final answer
    x = 31,204,488.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.