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Finding the Third Proportional to 14,193,933 and 21,267,201

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Solution

The third proportional to 14,193,933 and 21,267,201 is: 31,865,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193,933 : 21,267,201 = 21,267,201 : x
  2. Step 2: Convert to fraction form
    14,193,933/21,267,201 = 21,267,201/x
  3. Step 3: Cross multiply
    14,193,933x = 21,267,201 × 21,267,201
  4. Step 4: Simplify right side
    14,193,933x = 452,293,838,374,401
  5. Step 5: Solve for x
    x = 452,293,838,374,401/14,193,933
  6. Step 6: Final answer
    x = 31,865,293.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.