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Finding the Third Proportional to 1,419,535,227 and 3,106,219,214

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Solution

The third proportional to 1,419,535,227 and 3,106,219,214 is: 6,797,011,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,535,227 : 3,106,219,214 = 3,106,219,214 : x
  2. Step 2: Convert to fraction form
    1,419,535,227/3,106,219,214 = 3,106,219,214/x
  3. Step 3: Cross multiply
    1,419,535,227x = 3,106,219,214 × 3,106,219,214
  4. Step 4: Simplify right side
    1,419,535,227x = 9,648,597,805,422,778,368
  5. Step 5: Solve for x
    x = 9,648,597,805,422,778,368/1,419,535,227
  6. Step 6: Final answer
    x = 6,797,011,882.41

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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.