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Finding the Third Proportional to 14,685,624 and 31,811,981

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Solution

The third proportional to 14,685,624 and 31,811,981 is: 68,911,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685,624 : 31,811,981 = 31,811,981 : x
  2. Step 2: Convert to fraction form
    14,685,624/31,811,981 = 31,811,981/x
  3. Step 3: Cross multiply
    14,685,624x = 31,811,981 × 31,811,981
  4. Step 4: Simplify right side
    14,685,624x = 1,012,002,135,144,361
  5. Step 5: Solve for x
    x = 1,012,002,135,144,361/14,685,624
  6. Step 6: Final answer
    x = 68,911,074.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.