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Finding the Third Proportional to 6,423,982 and 13,906,458

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Solution

The third proportional to 6,423,982 and 13,906,458 is: 30,104,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423,982 : 13,906,458 = 13,906,458 : x
  2. Step 2: Convert to fraction form
    6,423,982/13,906,458 = 13,906,458/x
  3. Step 3: Cross multiply
    6,423,982x = 13,906,458 × 13,906,458
  4. Step 4: Simplify right side
    6,423,982x = 193,389,574,105,764
  5. Step 5: Solve for x
    x = 193,389,574,105,764/6,423,982
  6. Step 6: Final answer
    x = 30,104,314.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.