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Finding the Third Proportional to 1,419,535,231 and 3,106,219,222

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Solution

The third proportional to 1,419,535,231 and 3,106,219,222 is: 6,797,011,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,535,231 : 3,106,219,222 = 3,106,219,222 : x
  2. Step 2: Convert to fraction form
    1,419,535,231/3,106,219,222 = 3,106,219,222/x
  3. Step 3: Cross multiply
    1,419,535,231x = 3,106,219,222 × 3,106,219,222
  4. Step 4: Simplify right side
    1,419,535,231x = 9,648,597,855,122,284,544
  5. Step 5: Solve for x
    x = 9,648,597,855,122,284,544/1,419,535,231
  6. Step 6: Final answer
    x = 6,797,011,898.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.