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Finding the Third Proportional to 7,002,384 and 15,199,846

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Solution

The third proportional to 7,002,384 and 15,199,846 is: 32,993,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002,384 : 15,199,846 = 15,199,846 : x
  2. Step 2: Convert to fraction form
    7,002,384/15,199,846 = 15,199,846/x
  3. Step 3: Cross multiply
    7,002,384x = 15,199,846 × 15,199,846
  4. Step 4: Simplify right side
    7,002,384x = 231,035,318,423,716
  5. Step 5: Solve for x
    x = 231,035,318,423,716/7,002,384
  6. Step 6: Final answer
    x = 32,993,808.74

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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.