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Finding the Third Proportional to 2,322,199,972 and 5,013,811,496

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Solution

The third proportional to 2,322,199,972 and 5,013,811,496 is: 10,825,211,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322,199,972 : 5,013,811,496 = 5,013,811,496 : x
  2. Step 2: Convert to fraction form
    2,322,199,972/5,013,811,496 = 5,013,811,496/x
  3. Step 3: Cross multiply
    2,322,199,972x = 5,013,811,496 × 5,013,811,496
  4. Step 4: Simplify right side
    2,322,199,972x = 25,138,305,717,421,756,416
  5. Step 5: Solve for x
    x = 25,138,305,717,421,756,416/2,322,199,972
  6. Step 6: Final answer
    x = 10,825,211,446.27

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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.