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Finding the Third Proportional to 1,239,734,322 and 2,697,383,202

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Solution

The third proportional to 1,239,734,322 and 2,697,383,202 is: 5,868,899,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239,734,322 : 2,697,383,202 = 2,697,383,202 : x
  2. Step 2: Convert to fraction form
    1,239,734,322/2,697,383,202 = 2,697,383,202/x
  3. Step 3: Cross multiply
    1,239,734,322x = 2,697,383,202 × 2,697,383,202
  4. Step 4: Simplify right side
    1,239,734,322x = 7,275,876,138,431,772,672
  5. Step 5: Solve for x
    x = 7,275,876,138,431,772,672/1,239,734,322
  6. Step 6: Final answer
    x = 5,868,899,496.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.