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Finding the Third Proportional to 1,419,535,225 and 3,106,219,210

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Solution

The third proportional to 1,419,535,225 and 3,106,219,210 is: 6,797,011,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,535,225 : 3,106,219,210 = 3,106,219,210 : x
  2. Step 2: Convert to fraction form
    1,419,535,225/3,106,219,210 = 3,106,219,210/x
  3. Step 3: Cross multiply
    1,419,535,225x = 3,106,219,210 × 3,106,219,210
  4. Step 4: Simplify right side
    1,419,535,225x = 9,648,597,780,573,024,256
  5. Step 5: Solve for x
    x = 9,648,597,780,573,024,256/1,419,535,225
  6. Step 6: Final answer
    x = 6,797,011,874.48

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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.