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Finding the Third Proportional to 6,423,983 and 13,906,459

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Solution

The third proportional to 6,423,983 and 13,906,459 is: 30,104,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423,983 : 13,906,459 = 13,906,459 : x
  2. Step 2: Convert to fraction form
    6,423,983/13,906,459 = 13,906,459/x
  3. Step 3: Cross multiply
    6,423,983x = 13,906,459 × 13,906,459
  4. Step 4: Simplify right side
    6,423,983x = 193,389,601,918,681
  5. Step 5: Solve for x
    x = 193,389,601,918,681/6,423,983
  6. Step 6: Final answer
    x = 30,104,314.09

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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.