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Finding the Third Proportional to 1,419,535,229 and 3,106,219,218

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Solution

The third proportional to 1,419,535,229 and 3,106,219,218 is: 6,797,011,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,535,229 : 3,106,219,218 = 3,106,219,218 : x
  2. Step 2: Convert to fraction form
    1,419,535,229/3,106,219,218 = 3,106,219,218/x
  3. Step 3: Cross multiply
    1,419,535,229x = 3,106,219,218 × 3,106,219,218
  4. Step 4: Simplify right side
    1,419,535,229x = 9,648,597,830,272,532,480
  5. Step 5: Solve for x
    x = 9,648,597,830,272,532,480/1,419,535,229
  6. Step 6: Final answer
    x = 6,797,011,890.34

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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.