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Finding the Third Proportional to 6,423,981 and 13,906,455

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Solution

The third proportional to 6,423,981 and 13,906,455 is: 30,104,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423,981 : 13,906,455 = 13,906,455 : x
  2. Step 2: Convert to fraction form
    6,423,981/13,906,455 = 13,906,455/x
  3. Step 3: Cross multiply
    6,423,981x = 13,906,455 × 13,906,455
  4. Step 4: Simplify right side
    6,423,981x = 193,389,490,667,025
  5. Step 5: Solve for x
    x = 193,389,490,667,025/6,423,981
  6. Step 6: Final answer
    x = 30,104,306.14

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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.